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consider the differential equation dy/dx= (y - 1)/ x squared where x not = 0 a) find the particular solution y= f(x) to the differential equation with the initial condition f(2)=0 (b)for the particular solution y = F(x) described in

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  1. calculus

    consider the differential equation dy/dx= (y - 1)/ x squared where x not = 0 a) find the particular solution y= f(x) to the differential equation with the initial condition f(2)=0 (b)for the particular solution y = F(x) described in part (a) find lim F(x)
  2. calculus

    1.Solve the differential equation dy/dx= y^2/x^3 for y=f(x) with the condition y(1) = 1. 2.Solve the differential equation y prime equals the product of 2 times x and the square root of the quantity 1 minus y squared. Explain why the initial value problem
  3. Math

    The maximum number of arbitrary constants is equal to a. Number of derivatives in the differential equation b. Degree of differential equation c. Order of differential equation e. None of the above I don't understand this, but my guess it's letter A.
  4. calculus-differential equation

    Consider the differential equation: (du/dt)=-u^2(t^3-t) a) Find the general solution to the above differential equation. (Write the answer in a form such that its numerator is 1 and its integration constant is C). u=? b) Find the particular solution of the
  5. ordinary differential equation

    consider the differential equation d^3x/dt^3 - 9(d^2x/dt^2)+ 27(dx/dt) -27x = c0s t +sin t + te^(3t) a) show that characteristic equation of the differential equation is (m-3)^3 =0 (b) Hence, find the general solution of the equation.
  6. Calculus

    Solve the differential equation dy/dx = -xe^y and determine the equation of the curve through P(1,2) I tried solving the differential equation and I get y = log(x^2/2 + C). Is this correct? Now I forgot how to find the equation. Thank you!
  7. Physics

    Verify that the formula u(t)=Acos(ωo*t+Φ) is a solution to the differential equation for the mass on a spring, by plugging this expression for u(t) directly into the differential equation: d^2u/dt^2+ωo^2*u=0.
  8. Calculus

    Using separation of variables, solve the following differential equation with initial conditions dy/dx = e^(2x+3y) and y(0) = 1. Hint: use a property of exponentials to rewrite the differential equation so it can be separated
  9. Calculus

    Consider the differential equation dy/dx=xy-y. Find d^2y/dx^2 in terms of x and y. Describe the region in the xy plane in which all solutions curves to the differential equation are concave down.
  10. Calculus

    For Questions 1–2, use the differential equation given by dy/dx = xy/3, y > 0. 1. Complete the table of values x -1 -1 -1 0 0 0 1 1 1 y 1 2 3 1 2 3 1 2 3 dy/dx 2. Find the particular solution y = f(x) to the given differential equation with the initial
  11. Calculus

    For Questions 1–2, use the differential equation given by dy/dx = xy/3, y > 0. 1. Complete the table of values x -1 -1 -1 0 0 0 1 1 1 y 1 2 3 1 2 3 1 2 3 dy/dx 2. Find the particular solution y = f(x) to the given differential equation with the initial
  12. Differential Equations

    in this problem we consider an equation in differential form M dx+N dy=0 (2y-2xy^2)dx+(2x-2x^2y)dy=0 give implicit general solutions to the differential equation. F(x,y)=
  13. Calculus

    Which of the following is a separable, first-order differential equation? A) dy/dx= x+y/2x B) dy/dx=x+y/x-y C) dy/dx=sinx
  14. Calculus

    For Questions 1–3, use the differential equation given by dx equals xy/3, y > 0. Complete the table of values x −1 −1 −1 0 0 0 1 1 1 y 1 2 3 1 2 3 1 2 3 dy/dx ? ? ? ? ? ? ? ? ? Find the particular solution y = f(x) to the given differential
  15. Calculus

    Choose the appropriate table for the differential equation dy/dx=x-y a) x -2, 0, 1 y -4, 1, 2 dy/dx 2,-1,-1
  16. Math

    Find the equation of a hyperbola of the form x squared / M - y squared / N = 1 the transverse axis is 12 and the foci from the center is 16 is the answer x squared / 36 - y squared / 220 = 1
  17. Math

    Find the shortcut. Solve these problems. Then find and explain a shortcut method for finding the answer. 52(Squared) - 42 (squared) = 82 (Squared) - 72 (Squared) = 122 (Squared) - 112 (Squared) = 312 (Squared) - 302 (Squared) = 892 (Squared) - 882
  18. PLEEEEEAAAASE HELP WITH DIFFERENTIAL EQ PROBLEMS!!

    1) What are the equilibrium solutions to the differential equation and determine if it is stable or unstable with the initial condition y(-4)=1: 0.1(y+2)(4-y) 2) Use Euler's method with step size=0.5 and initial condition y(0)=3 to solve the equation
  19. Calculus

    Consider the differential equation dy/dx = x^4(y - 2). Find the particular solution y = f(x) to the given differential equation with the initial condition f(0) = 0. Is this y=e^(x^5/5)+4?
  20. Calculus

    Consider the differential equation dy/dx = x^2(y - 1). Find the particular solution to this differential equation with initial condition f(0) = 3. I got y = e^(x^3/3) + 2.
  21. Calc

    Consider the differential equation dy/dx=-2x/y Find the particular solution y =f(x) to the given differential equation with the initial condition f(1) = -1
  22. math

    a bank account earns 7% annual interest compounded continuously. you deposit $10,000 in the account, and withdraw money continuously from the account at a rate of $1000 per year. a. write the differential equation for the balance, B, in the account after t
  23. Calculus!!

    Consider the differential equation given by dy/dx = xy/2. A. Let y=f(x) be the particular solution to the given differential equation with the initial condition. Based on the slope field, how does the value of f(0.2) compare to f(0)? Justify your answer.
  24. math

    How do i find the area of a triangle? For example: A squared + b squared= c squared 8.5 squared + 6.4 squared= c squared 72.25 + 40.96= c squared 113.21=c squared 10.6400188=c even tho i thought this was the answer it is not because it does not solve the
  25. MATH

    My Math work instructions is place the numbers from least to greatest. 7 squared, 2, 8/2 squared = 2, seven squared, and 8/2 squared. 10 squared, pi, 3.5 = pi, 3.16, 3.5. 220 squared, -10, 100 squared, 11.5 = -10, 220 squared, 100 squared, 11.5. 8 squared,
  26. Math

    For the harmonic potential V(x,y) = x^2 + y^2 a) Find the total differential, dV. For this I got dV = 2x.dx + 2y.dy b) Given that -dV = F(x).dx + F(y).dy, where F(x) and F(y) is the force in the x and y direction, respectively, write a differential
  27. math

    The displacement s (in metres) of a body in a damped mechanical system, with no external forces satisfies the following differential equation: 6 3 2 2    dt ds dt d s where t represents time in seconds. If at time t = 0, s = 0 and  5 dt ds m/s,
  28. math

    Consider the differential equation dy/dx = -1 + (y^2/ x). Let y = g(x) be the particular solution to the differential equation dy/ dx = -1 + (y^2/ x) with initial condition g(4) = 2. Does g have a relative minimum, a relative maximum, or neither at ?
  29. algebra 2 multiple choice HELP

    find f(a), if f(t) = 2t2(squared)-t-2 A. 2(a+t)2(squared)-2t+1-2 B. 2(t+a)2(squared)-2(t+a)-2 C. 2a2(squared)-a-2 D. 4a2(squared)-2a-2 I put (squared) because the two in front of it means it's being squared... please help. thanks!
  30. calculus

    verify that y=c/x^2 is a general solution of the differential equation y'+(2/x) y=0-6y=0 then find a particular solution of the differential equation that satisfies the side condition y(1)=2
  31. Math

    My Math work instructions is place the numbers from least to greatest. 7 squared, 2, 8/2 squared = 2, seven squared, and 8/2 squared. 10 squared, pi, 3.5 = pi, 3.16, 3.5. 220 squared, -10, 100 squared, 11.5 = -10, 220 squared, 100 squared, 11.5. 8 squared,
  32. calculus

    is y = x^3 a solution to the differential equation xy'-3y=0?? how do i go about solving this??? also, is there a trick to understanding differential equations? i'm really struggling with this idea, but i'm too embarassed to ask my professor for help.
  33. Help with differential eqs problem???? (Calculus)

    Consider the differential equation dy/dt=y-t a) Determine whether the following functions are solutions to the given differential equation. y(t) = t + 1 + 2e^t y(t) = t + 1 y(t) = t + 2 b) When you weigh bananas in a scale at the grocery store, the height
  34. Calculus BC

    Let y = f(x) be the solution to the differential equation dy/dx=y-x The point (5,1) is on the graph of the solution to this differential equation. What is the approximation of f(6) if Euler’s Method is used given ∆x = 0.5?
  35. Calculus BC

    Let y = f(x) be the solution to the differential equation dy/dx = y-x The point (5,1) is on the graph of the solution to this differential equation. What is the approximation of f(6) if Euler’s Method is used given ∆x = 0.5?
  36. calc

    Let y = f(x) be the solution to the differential equation dy/dx = y-x The point (5,1) is on the graph of the solution to this differential equation. What is the approximation of f(6) if Euler’s Method is used given ∆x = 0.5
  37. Calculus

    The general solution to the differential equation dy/dx=xy is y=±√(x^2+C). Let y=f(x) be the particular solution to the differential equation with the initial condition f(−5)=−4. What is an expression for f(x) and its domain?
  38. Math11U

    A Pythagorean Triple is a set of integers that satisfy the Pythagorean Theorem, c squared= a squared + b squared. 3,4,5 and 5,12,13 are just two of many examples. Find another, that is not a multiple of the one of the two given, using the following
  39. math

    Solve each equation and leave the answer in simplest radical form. x squared+6x-9=0 n squared-2n+2=5 3y squared-4y-2=0 I never learned how to do this. Can you help me?
  40. algebra

    find an equivalent equation with the given denominator 7/b= ?/bsquared the expression that is equivilent to 7/b is ? if b is squared wouldn't the 7 also have to be squared to be equivilant? 7/b = 49/b squared? Am I correct? Thanks
  41. Calculus - Differential Equations

    Find the particular solution of the differential equation that satisfies the initial condition. Write it out as an equation Differential Equation: 20xy' - ln(x^5) = 0, x>0 Initial condition: y(1) = 13
  42. math

    i am having a minor difficulty i've been stuck for over an hour and don't know what to do i don't know is this right ? = "+" or "-" # = number y=x (x+1)squared + (y+1)squared = 6 i substitute y (x+1)squared + (x+1)squared = 6 x squared + 2x + 1 + x squared
  43. 10th Grade Algebra

    Please help me with these factorise algebra questions!!! 1. 9c squared + 30c + 25 - 4d squared 2. 12 + 89 - 4a squared 3. -5x squared + 27x - 10 4. If A= 15x squared - 20x +11 and B= 1 + 9x+ 5x squared, then A-B when factorised is...
  44. Inter. Algebra

    Another problem plz help Count Iblis. How do you solve 5/x+2 + 2x/x squared - 4= 3/x-2? 5/x+2 + 2x/x squared - 4= 3/x-2 You write the term: 2x/x squared as 2/x the equation becomes: 5/x+2 + 2/x - 4= 3/x-2 4/x = 0 This equation has no solutions. It is only
  45. Inter. Algebra

    what is the answer to 12x squared y cubed /2xy squared +6xy * y squared +6y+9 /3y cubed +9y squared? You have not written an equation, only an algebraic function, with two variables. You need to add parentheses to clarify the order of operations. There is
  46. Maths

    I have a maths exam tomorrow and am studying with a friend. We are working on a question and are getting two different answers. Could you please show us the right way to do it? 2(4x + 3)(4x - 3) - (4x + 3)squared p.s i couldn't find a squared symbol so
  47. Math

    a weight of mass m is attached to a spring and oscillates with simple harmonic motion. By Hooke's Law, the vertical displacement, y(t) satisfies the differential equation dy/dt=sqrt(k/m)*sqrt(A^2-y^2) where A(Fixed) is the maximum displacement and k is a
  48. calculus

    Sorry to post this again, but I am still unable to understand it and need help. Please help.1) Using 3(x-3)(x^2-6x+23)^2 as the answer to differentiating f(x)=(x^2-6x+23)^3/2, which I have been able to do, I need to find the general solution of the
  49. Calculus

    These are all the questions I missed on my practice quizzes, however I was never given the correct answers. I was hoping someone could give me the answers to these so I'd be able to study them! (I know some of them were simple/dumb mistakes :')) 1. Which
  50. math numerical methods

    Consider the following second order differential equation: y"-2x^(2)y+y^(3)=17cos(4x) with y(0)=4 , y'(0)=-9 If we let u=y and v=y′ then as an AUTONOMOUS first order system, the second order differential equation is correctly expressed as:
  51. Maths

    The slope of a curve is equal to y divided by 4 more than x2 at any point (x, y) on the curve. A. Find a differential equation describing this curve. B. Solve the differential equation from part A. C. Suppose it’s known that as x goes to infinity on the
  52. math

    10. Sales of televisions grow at a rate proportional to the amount present (t is measured in days). (a)Set up a differential equation to model this problem. (b)Solve the differential equation if at t = 0, there are 20 televisions sold and after 3 days,
  53. AB Calculus

    So I'm supposed to verify the solution of the differential equation. The solution is y=e^(-x). The differential equation is 3y' + 4y = e^(-x). What is the problem asking me to do here?
  54. physicsss

    while driving his sports car at 20.0 m/s down a four-lane highway, eddie comes up behind a slow-moving dump truck and decides to pass it in the left lane. If eddie can accelerate at 5.00 m/s2) (squared) how long will it take for him to reach a speed of
  55. Math

    How can I graph this equation: (x-squared + y-squared - 1)cubed = x-squared times y-cubed ? Is there a polar form of the equation?
  56. math 116

    find an equivalent equation with the given denominator 7/b= ?/b squared the expression that is equivalent to 7/b is ? if b is squared wouldn't the 7 also have to be squared to be equivalent? 7/b = 49/b squared? Am I correct? Thanks
  57. Ap Calculus

    Ok, I've been doing BC review tests to prepare for the AP exam. I came across this free response problem and I have no idea how to do it, can someone please help me with this? It gives the differential equations: dP/dt = .03P(30-P) and it asks "Find the
  58. Math

    I need to solve this set of differential equations {y'+(t/2)1, y(0)=1} and then find the limiting value as t approaches infinity. I'm not sure where to start. I found the answer to the differential equation to be: y(t)=e^-t^2/4[e^(r^2/4)dr
  59. Physics

    For the harmonic potential V(x,y) = x^2 + y^2 a)Find the total differential, dV. b) Show that dV is exact c) Given that -dV = Fx.dx + Fy.dy where Fx and Fy is the force in the x and y direction, respectively, write a differential equation describing the
  60. Math

    I need help with this problem. In decimal form, write the ratio of the first 8 consecutive square numbers. 1 squared:2 squared, 2 squared:3squared, 3 squared:4 squared
  61. algerbra

    i have to simply the expression 3x squared-10+4x+8-x squared, so far i have this 1x squared+4x-2 3x squared-1xsqaured+4x -10+8 2x squared+4x-2 i know its kinda confusing becasue i type sqaured so many time, am i on the right track?how do i find the answer
  62. Maths

    Experiments show that the concentration of substance X in a first order chemical reaction at future time (in seconds) t i.e. [X] is described by the following differential equation: d[X]/ dt= .001[X], find: (a) Find an expression for the concentration
  63. Algrebra

    I need to find the approximate surface area of a cone with the R=5 and L=6. I thought I figured it out by 3.14(5)(6) which will give me 94.2 I then would take 94.2 +3.14(5)squared and I came up with 172.7, but my answer should be either 20m squared, 98m
  64. calculus

    determine whether the statement is true or false. If it is true, explain why it is true. If it is false, give an example to show why it is false a) the function f(x)=3/2 +cx^-2 is a solution of the differential equation xy'+2y=3 b) the differential
  65. MATH

    Differential equations, initial value problem. The general equation of motion is: mx"+Bx'+kx=f(t), where the independent variable is t, and the displacement x is the dependent variable. In this case, external force f(t)=0, so mx"+Bx'+kx=0 substitute
  66. Differential Equations

    The velocity v of a freefalling skydiver is well modeled by the differential equation m*dv/dt=mg-kv^2 where m is the mass of the skydiver, g is the gravitational constant, and k is the drag coefficient determined by the position of the driver during the
  67. Math

    3(-5)squared -2/-5(2)/2 squared I don't get the second part but... any number squared is positive so 3(-5) squared is 3x25 if only (-5) is squared. If the whole thing is squared then multiply first, (3x-5) then squared the answer. Is the second
  68. I would like to understand my calc homework:/

    Consider the differential equation given by dy/dx=(xy)/(2) A) sketch a slope field (I already did this) B) let f be the function that satisfies the given fifferential equation for the tangent line to the curve y=f(x) through the point (1,1). Then use your
  69. Calculus

    Suppose that we use Euler's method to approximate the solution to the differential equation 𝑑𝑦/𝑑𝑥=𝑥^4/𝑦 𝑦(0.1)=1 Let 𝑓(𝑥,𝑦)=𝑥^4/𝑦. We let 𝑥0=0.1 and 𝑦0=1 and pick a step size ℎ=0.2. Euler's method is the the
  70. Chemistry/Math

    Write a differential equation describing a second order reaction – a reaction in which the rate of depletion of the concentration of the reactants depends on the square of reactants’ concentration. Solve this differential equation and hence find an
  71. Algebra

    Which equation could be used to find the dimensions of a room that has a length of 8 feet longer than the width, x, and has an area of 240 square feet? (A) x squared - 8x + 240 = 0 (B) 2x(2x-8x+16)=240 (C) x squared + 8x + 240 = 0 (D) x squared + 8x - 240
  72. math

    Which shows a perfect square trinomial? 50 y squared minus 4 x squared 100 minus 36 x squared y squared 16 x squared + 24 x y + 9 y squared 49 x squared minus 70 x y + 10 y squared
  73. calc

    The differential equation dy dx equals the quotient of x and y squared. will have a slope field with negative slopes in quadrant I will have a slope field with positive slopes in all quadrants will produce a slope field with columns of parallel tangents
  74. Math

    A circle with the equation (x+3)squared plus (y-2)squared = 25 is reflected over the line x=2. What is the equation of the image? (x-3)^2 + (y+2)^2=25 (x-7)^2 + (y+2)^2=25 (x-7)^2 + (y-7)^2=25 (x-3)^2 + (y-2)^2=25
  75. Differential Equations

    Consider the differential equation: dy/dt=y/t^2 a) Show that the constant function y1(t)=0 is a solution. b)Show that there are infinitely many other functions that satisfy the differential equation, that agree with this solution when t0 [Hint: you need to
  76. Differential Equations

    Consider the differential equation: dy/dt=y/t^2 a) Show that the constant function y1(t)=0 is a solution. b)Show that there are infinitely many other functions that satisfy the differential equation, that agree with this solution when t0 [Hint: you need to
  77. calculus

    Can you give me a good website on the topic, slope fields and differential equations? I need to match six slope fields with the correct differential equation. 1. dy/dx=x-y 2. dy/dx=1+x 3. dy/dx=cosx 4. dy/dx=2x 5. dy/dx=x+y 6. dy/dx=y(2-y)
  78. Differential Equations

    Consider the differential equation: dy/dt=y/t^2 a) Show that the constant function y1(t)=0 is a solution. b)Show that there are infinitely many other functions that satisfy the differential equation, that agree with this solution when t0 [Hint: you need to
  79. algebra 2

    I am so stuck on this factoring thing. how do you solve: 1)15a(squared)b-10ab(squared) 2)x(squared)-8x-8 3) 6p(squared)-17p-45 4)2r(cubed)+250 5)x(to the 6th power)-64 6)x(squared)-xy+2x-2y 7)x(to 4th power)-1
  80. Chemical Engineering

    When a manometer is subjected to a time dependent pressure differential, the level of liquid in the legs changes with time according to the equation: (L/g)*(d^2h/dt^2)+(8uL/ygr^2)*(dh/dt)+h = dp/yg where L = length of liquid in tube, h is the height
  81. math

    The population of a bacteria culture increases at the rate of 3 times the square root of the present population. A. Model the population P = P(t) of the bacteria population with a differential equation. B. Solve the differential equation that models the
  82. Differentail Equations

    I cant figure out how to do this type of problem! Consider the first order differential equation y′+(x/(x^2−4))y=(e^x)/(x−9) For each of the initial conditions below, determine the largest interval a
  83. math

    Factor (15a squared bc squared -9a squared b to the fourth c) by finding the gcf. I think the answer is 3abc(5ac-3ab3). I got it because I found the gcf of the coefficents which are 3. I subtracted one from each exponent so, i canceled b from 15a squared
  84. Math

    Find the area for the circle use 3.14 for pi. round to the nearest tenth 4mm is in the middle A. 12.56 mm squared B. 25.12 mm squared C. 50.24 mm squared D. 502.4 mm squared
  85. Math

    Using the example: (a+b)(a+b)= a squared -b squared, we are asked to multiply and simplify (b+3d)(b-3d). Hint: Do not use distributive property. Shouldn't the answer be b squared - 9d squared?
  86. math

    help pls, and quick this is for a thing i'm doing rn 13. use a net to find the surface area of the prism. l = 14 in. w = 5 in. h = 7 in. answers: (a) 203 squared in. (b) 406 squared in. (c) 476 squared in. (d) 540 squared in.
  87. Math

    how do you find the surface area of a sphere if the circonference measures 20 pie ft? A. 1256.6ft squared B. 10ft squared C. 314.2ft squared D. 62.8ft squared
  88. Calculus

    I'm having trouble with part of a question in a problem set. The question reads as follows: Continuous price discounting. To encourage buyers to place 100-unit orders, your firm's sales department applies a continuous discount that makes the unit price a
  89. Math

    How do i write this equation in standard form and how do i find the center and radius of the circle? x squared + y squared + 2x - 2y - 2 = 0
  90. Math

    How do i write this equation in standard form and how do i find the center and radius of the circle? x squared + y squared + 2x - 2y - 2 = 0
  91. Math- Algebra

    i'm having troubles with some sums how would you factorize completely 9a(squared) - b(squared)? or an expression like 27x(squared) - 1/3y(squared) its difficult. have many more.
  92. Calculus

    dy/dx = 4ye^(5x) a) Separate the differential equation, then integrate both sides. b) Write the general solution as a function y(x). For the second part, I got y(x)=e^((5e^(5x))/(5)) + C but I don't understand how to separate differential equations and/or
  93. Math

    One model for the spread of rumors is one where it is assumed that the rate of spread is proportional to the product of the fraction y of the population who have heard the rumor and the fraction who have not heard the rumor. Here y= y(t) is a function of
  94. mathematics

    The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of
  95. mathematics

    The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of
  96. mathematics

    The circle x2-2x+y2-4y-4=0 lies on the cartesian plane,question 2.1.1 equation of new circle which is the rotation of original circle through 180 degree around the origin...2.1.2 find equation of another circle which is the translation (x;y)-(x-8;y-6) of
  97. Calculus

    Find the particular solution of the differential equation particular solution of the differential equation dy/dx=(x−7)e^(−2y).
  98. maths

    Given that the equation of the hyperbola is 9x(squared)-4y(squared)=36. (i)Find the centre and vertices (ii)Find the foci and eccentricity (iii)find the equation of the asymptotes
  99. Factor completely

    I am to factor this completely and I am stuck. 2r^3 + 8r^2 +6r Note: x^2 is x-squared (that is, x with the superscript 2), etc. This is a double post. The equation is r but the explanation for the squared term uses x's.
  100. Algebra

    i need to use the quadratic formula 2 solve these 4 questions: 1. x(squared)-6x+4=0 2. t(squared)+4t-2=0 3. 3x(squared)+10X+5=0 4. 2x=7-x(squared) I just can't seem 2 get the right answer!

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