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February 13, 2016

# Search: math- differential equations

Number of results: 117,177

Differential Equations
Classify the following differential equations as linear or nonlinear: 3x' +5x=7t^2 4x^2+2x+5tx=0
September 11, 2014 by Connor

Differential Equations!
I'm struggling solving this separable differential equations: (du/dv) = ((uv+u)/(uv+v)) I multiplied both sides by dv to get on the left side just du and cancel out dv, but after that don't know where to go. I've tried integration by parts but it doesn't look right! Any help ...
January 13, 2013 by Massiel

Math
A two population model is satisfied by a system of differential equations given by, V(x,y) = (ax,by)^T The general solution of the system of differential equations has x = áe^at for some constant á. The parameter t can be eliminated and we can express y in terms of x in the ...
August 25, 2012 by Anonymous

differential equations
solve the differential equation by seperation of variables 5. y'=xy/2ln y
March 17, 2011 by cathy

Differential Equations
Solve the seperable differential equation for U. du/dt = e^(5u+7t) - Using the following initial condition U(0) = 12
August 27, 2011 by Kody

Differential Equations
Solve the differential equation below with initial conditions. Compute the first 6 coefficient. Find the general pattern. (1-x)y"-y'+xy=0 y(0)=1, y'(0)=1
July 9, 2012 by Jason

Differential Equation
Hello everyone. I was wondering if anyone knows a site that could help me with the homework free online...with Differential equations. it would be great. I need help on in big time thank you
October 22, 2008 by mary

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.
December 1, 2008 by Kenneth

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<x<b on which the existence and uniqueness theorem for...
June 6, 2015 by Eric

differential equations
Consider the 2nd order differential equation: x''(t)=-x-A(x^2-1)x'(t) x(0)= 0.5 x'0)= 0 ''= 2nd order,'= 1st order where A is a positive constant.As the value of A increases this equation becomes increasingly stiff. Convert this equation to two first-order equations. please ...
November 16, 2011 by Rikki

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 +Ce^(-t^2/4)where the [ sign ...
September 6, 2012 by Emily

Differential Equations
Find the general solution of the differential equation specified. 1) dy/dt= 1/(ty+1+y+1) 2) dy/dx=sec y I got y(x)=arcsin(x) for the second one. I'm not sure what to do with the first one.
January 22, 2013 by Erica

Which of these equations have an equilibrium solution. What are they? How are their DE's different? dy/dx=6y-y^2 dy/dx 15-3y
December 3, 2014 by Francine

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 dive. (a)Find the ...
January 24, 2013 by Erica

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)
November 7, 2007 by Anonymous

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 t<=0, but that are nonzero when t>0...
January 31, 2013 by Erica

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 t<=0, but that are nonzero when t>0...
January 31, 2013 by Erica

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 general solution to the...
April 25, 2007 by Jessica

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 t<=0, but that are nonzero when t>0...
January 31, 2013 by Erica

math
Solve the following ordinary differential equations. I) (2y+x^2+1)dy/dx+2xy-9x^2=0 ii) d^2/dx^2+3day/DX+2y=x^2
March 20, 2015 by gourav

math-differential equations
hi i need to know how to do this one thanks Find the solution to yx + x + (dy/dx) = 0 ; y(9) = -9 y = ???? Does this separate the variables? dy/dx=-x(y+1) dy/(y+1) = -x dx
August 5, 2007 by kayla

University, Engineering Math
solve the ffg. differential equations: 1. x^3 +(y+1)^2 dy/dx=0 2. dy/dx-(1+1/x)y=y^2 3. dy/dx + ytanx=y^3sec^4x
February 5, 2013 by Taldil

differential equations
Convert x''+ sin(x) = 0 into a first order system of equations. (x'' refers to the second derivative of x). I tried: y1 = sin(x) y2 = x' {y1' = cosx {y2' = -sinx Not sure if I did it right.
November 25, 2015 by Sarah

Differential Equations
Consider the system shown below of two masses of mass m, coupled together between two fixed walls via springs with varying spring constants. Let x(t) and y(t) be the horizontal displacements of the two masses as a function of time. (a)Write down a system of differential ...
October 13, 2014 by Smith

Math
Are the differential equations separable or not? 1. y'= ye^(x+y) 2. y'= ye^(xy) 3. y'= y(xcos(y)) If they are, could you show how? Any help, even on one, would be extremely appreciated!
February 2, 2011 by Leah

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 integrate both sides...
June 16, 2014 by Jamie

Differential Equations
A rabbit starts at the origin and runs up the right branch of the parabola y=x^2 with speed a. At the same time a dog, running with speed b, starts at the point (c,0) and pursues the rabbit. Write a differential equation for the path of the dog
January 26, 2012 by Samantha

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. Please help.
September 13, 2014 by Rin

math- differential equations
This is what im given (1 + x)dy/dx - xy = x + x2 ____________________________________________________________________________________________________________________________________________________________ From my understanding I should move everything to one side like: (1 + x...
September 7, 2007 by manny

Differential Equations
(x^2+1)dx+x^2y^2dy=0 need help:)..thanks.
July 14, 2014 by Alyanna

Differential Equations
(D^2 + 1) y = sec^2 2x solve for Yp.
October 14, 2014 by Cathy

Differential Equations
(D^2 + 1) y = sec^3 x solve for Yp.
October 14, 2014 by Cathy

Differential Equations
(D^2 + 1) y = 1/(1 + sin x) solve for Yp.
October 14, 2014 by Cathy

Differential Equations
Solve x(dy/dx)=(y^2)/(1-y log x).
August 3, 2015 by Ranajoy

Differential Equations
(D^2 + 1) y = sec^2 (x) tan (x) solve for Yp.
October 14, 2014 by Cathy

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 above differential ...
February 5, 2008 by Jeff

Calculus
Are the following differential equations separable or not? * y'= ye^(x+y) * y'= ye^(xy) * y'= y(xcos(y)) I am no good at these :[
February 2, 2011 by Grace

Calculus AB
Verify if the given equations are solutions to the differential equation. dy/dt=k(y-a) i) y=1-ae^(kt) ii) y=a+Ce^(kt)
February 28, 2011 by dyingincalc

Differential Equations
Find the eigenvalues and eigenfunction for the BVP: y ' ' '+ λ2 y ' = 0 , y(0) = 0, y’(0) = 0 and y’(L) = 0
April 22, 2012 by Chuck

maths-urgently needed[Differential equations]
solve- dy/dx = 2xy + (y^2/x^2)
February 7, 2013 by Anonymous

maths-urgently needed[Differential equations]
solve- dy/dx = 2xy + (y^2/x^2)
February 7, 2013 by Anonymous

differential equations
the general solution of the diff. eq. y' = (1/x)(y/(1-y)) - (1-x)(y/(1-y)) in implicit form is?
August 4, 2015 by Anonymous

Math: Differential Equations
I've been stuck on this math hw problem for a while, I was thinking of taking the integral of the equation, but I've been messing up too much that I'm not sure anymore. Q: Is it possible to solve y'=x/(x^(2)-1) for y(1) = 0? Thank you!
January 15, 2014 by Student

calculus
solve the differential equations subject to the given conditions. dy/dx= 4x^1/2 y=21 of x=4 is this derivative?!
July 21, 2012 by Anonymous

Differential Equations
y'=2x+y. Find a solution whose graph is also an isocline.
February 14, 2013 by Brian

Differential equations in Calculus...plsssss help?
Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does the ...
November 30, 2014 by Bridget

Differential Equations (Another) Cont.
For the following initial value problem: dy/dt=1/((y+1)(t-2)) a)Find a formula for the solution. b) State the domain of definition of the solution. c) Describe what happens to the solution as it approaches the limit of its domain of definition. Why can't the solution be ...
January 31, 2013 by Erica

differential equations
dy/dx=4x/y..verify that the straight lines y=2x are solution curves, provided x doesnt equal 0.
January 9, 2013 by siddh

mathematics
Solve the following differential equations: (I). Cos x dy/dx + ysin x= sec^2 x (II). Y"-10y' + 41y=0
June 27, 2014 by mitesh

math
Can someone please explain this problem Find the general solution to the linear system of differential equations. x'1 x'2 x'3 = −4 −4 5 0 −4 4 0 4 2 x1 x2 x3
April 25, 2015 by Anonymous

Differential Equations
(a) Let S be the set of solutions y(t) to the differential equation dy/dt = -y for t> 0. With addition and scalar multiplication of elements defined in the usual way, is S a vector space? (b)Let T be the set of solution y(t) to the differential equation dy/dt = 1 - y for t...
October 13, 2014 by Cam

math (differential equation)
show that y sub n=cos(ncos^-1(x)) satisfies the differential equation: (1-x^2)(d^2y/dx^2)-x(dy/dx)+n^2(dy/dx)=0
March 3, 2013 by shoosh

Calculus - Second Order Differential Equations
Posted by COFFEE on Monday, July 9, 2007 at 9:10pm. download mp3 free instrumental remix Solve the initial-value problem. y'' + 4y' + 6y = 0 , y(0) = 2 , y'(0) = 4 r^2+4r+6=0, r=(16 +/- Sqrt(4^2-4(1)(6)))/2(1) r=(16 +/- Sqrt(-8)) r=8 +/- Sqrt(2)*i, alpha=8, Beta=Sqrt(2) y(0)=2...
July 10, 2007 by COFFEE

Differential Equations
a) Sketch the phase line for the differential equation dy/dt=1/((y-2)(y+1)) and discuss the behavior of the solution with initial condition y(0)=1/2 b) Apply analytic techniques to the initial-value problem dy/dt=1/((y-2)(y+1))), y(0)=1/2 and compare your results with your ...
February 3, 2013 by Erica

Math: Differential Equations
I'm given y''= sin(x) with the initial conditions of y(0)=0 and y'(0)=2. I've already taken the integral two times to get an answer of y= -sin(x)+3x, however, I'm stuck as to how to make this equation in terms of x=... Please explain, I'd really appreciate it!
January 14, 2014 by Student

Differential Equations
Use the Laplace Transform to solve this initial value problem. y'''' - 8y = 0, y'(0)=63, y''(0)=216, y'''(0)=297 I would really appreciate the help.
November 25, 2013 by Emily

Math, Calculus
help Please... Differential Equations Problems... please give the complete solution, so that i can understand how it is derived... tnx in advance, god Bless... Here are the problems : 1.) y dx + (2x+3y)dy = 0 2.) (2xy + y^(2) ) dx - 2x^(2) dy = 0 ;y = e, x = e 3.) y( x^(2) + ...
October 19, 2009 by Huck

Differential Equations
a) Sketch the phase line for the differential equation dy/dt=1/((y-2)(y+1)) and discuss the behavior of the solution with initial condition y(0)=1/2 b) Apply analytic techniques to the initial-value problem dy/dt=1/((y-2)(y+1))), y(0)=1/2 and compare your results with your ...
February 3, 2013 by Erica

Math
Find the specific solution for the following differential equations: a) (dy/dx)^2 - x^4 = 0 given the initial value y(1) = 0 b) dy/dx = ysinx given the initial value y(pi) = 1
November 9, 2008 by Alice

MATH
Solve the differential equations? (calculus) a) square root cotany/ (1+x^2)sin^5y dy/dx = e^x^3 +3x/ square root cotany b) y^2/cosx dy = e^sinx/ e^y^3-1 dx
May 8, 2013 by RAY

The differential of the function y=(x^2+6)^3 is dy=______dx. When x=2 and dx=0.05, the differential dy=_______? A) dy=______dx? B) the differential dy=_______?
February 28, 2014 by ALI

Calculus
Integrate e^(-x^2/2) dx What branch of calculus is this? Is this differential equations?
March 7, 2008 by mathstudent

Math
help Please... Differential Equations Problems... please give the complete solution, so that i can understand how it is derived... tnx in advance, god Bless... Here are the problems : 1.) y dx + (2x+3y)dy = 0 2.) (2xy + y^(2) ) dx - 2x^(2) dy = 0 ;y = e, x = e 3.) y( x^(2) + ...
October 18, 2009 by Huck

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 h of the bananas is ...
November 30, 2014 by Stacey

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 y(0)=3 to estimate y(2), ...
December 8, 2014 by Karen

Math: Differential Equations
Solve the initial value problem y' = y^2, y(0) = 1 and determine the interval where the solution exists. I understand how the final solution comes to y = 1/(1-x), but do not understand how the solution is defined from (-infinity, 1) and not (1, infinity).
October 9, 2014 by Anonymous

college differential equations
Find two linearly independent power series solutions to the diffrential equation. State the first 3 therms of each series: 2x^2y''+xy'-(1+2x^2)y=0
July 28, 2010 by Justin

Differential Equations
Solve dy/dx = y/(2y-x) using rational substitution (using v=y/x) with the initial condition y(0)=1. I solved this problem and found C (the constant) to be undefined. That is not the correct answer.
February 15, 2014 by Liz

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 years b. what is the...
March 14, 2011 by Anonymous

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 equation describing the ...
November 18, 2008 by Beth

Calc 2 college
Modeling with differential equations. If a bacteria culture doubles every 10 minutes and the original culture has 300 cells determine the rate of growth.
July 9, 2010 by Marianne

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 m=0.25, k=4, B=1 we have a ...
March 16, 2011 by Anonymous

Differenctial equations
Use the change of variable x = exp(s) to recast the differential equation xy′′+y′+(L/x)y=0 Please HELP ME
October 14, 2011 by lili

Math 116
Consider the following system of equations. y=2x-2 y-2x=9 What can you conclude about the system of equations? a. The system of equations is inconsistent. b. The system of equations is dependent. c. The system of equations is independent. d. none of these.
June 21, 2013 by Queta

college math/chemistry
chemical reaction: E + S <=> E~S <=> E-S <=> indicates a bidirectional reaction with different forward and backward rate constants. we can call these k1, k2, k3 and k4 in the above equation. Here, the enzyme binds to the substrate; the initial complex E~S ...
December 9, 2010 by Heather

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, ...
May 17, 2011 by Karl Haxell

math
Let y = tan(5x+2). Find the differential dy when x = 2 and dx = 0.4 Find the differential dy when x = 2 and dx = 0.8
March 28, 2012 by bobby

Math
Let y = sqrt(7-x) Find the differential dy when x= 1 and dx = 0.4 Find the differential dy when x= 1 and dx = 0.02
December 18, 2014 by Anonymous

Math 1
Consider the following system of equations. y = 4x - 4 y - 4x = 3 What can you conclude about the system of equations? A) The system of equations is inconsistent. B) The system of equations is dependent. C) The system of equations is independent. D) none of these
October 20, 2013 by sam

math
Consider the following system of equations. y = 2x - 2 y - 2x = 7 What can you conclude about the system of equations? The system of equations is inconsistent. The system of equations is dependent. The system of equations is independent. none of these
September 8, 2014 by robert

calculus differential equation
Find in implicit form the general solution of differential equation dy/dx=2(e^x-e^-x)/y^2(e^x+e^-x)^4 with (y>0). I know this requires a seperation of variables but I beyond that I am confused by how.Thanks.
February 12, 2011 by malcolm

calculus differential equation
Find in implicit form the general solution of differential equation dy/dx=2(e^x-e^-x)/y^2(e^x+e^-x)^4 with (y>0). I know this requires a seperation of variables but I beyond that I am confused by how.Thanks.
February 12, 2011 by malcolm

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 << D) dy/dx=xy/x+y E) dy/dx= 2lnxy 2) The differential equation dy/dx=y/x^2 has a solution given by: A) y=C sqrt(x^2+4) B)y=C e^-1/x C)-1/2ex^2+C D) ...
May 8, 2014 by Samantha

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:
April 21, 2013 by mahdi

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.
May 1, 2014 by Michelle

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 constant, solve this ...
December 15, 2012 by A.J.

DIFFERENTIAL EQUATION
find the differential equation of family of lines with slope and y intercept equal.
June 16, 2012 by JAJA111111

math
What is the name for the partial differential symbol (∂)? I see some papers use greek lowercase delta instead (δ) where I believe they are implying a partial differential. Is this normal? Is there supposed to be a conceptual difference between the two symbols? Or is...
February 6, 2009 by anonymous

Differential Equations
A government agency has a current staff of 5000, of whom 25% are women. Employees are quitting randomly at the rate of 100 per week. Replacements are being hired at the rate of 50 per week, with the requirement that half be women. Interested in the rate of women coming in and ...
October 30, 2012 by bryant

Differential Equations
solve using variation of parameters: y"+36y=[csc(6t)]^2 I don't understand variation of parameters very well at all.
April 24, 2012 by Rosy

Differential Calc
If: 0 = f(1) = a+b+c+d 2 = f(-2) = -8a+4b-2c+d 0 = f'(1) = 3a+2b+c 0 = f'(-2) = 12a-4b+c "since we now have four equations and four unknowns, we can determine unique solution. Solving for "a" and "b", a=, b=" Please show the steps, I am so confused and no one knows how to do ...
November 5, 2012 by Joey

Calc 2
Differential equations. There are gophers in a very large vacant lot. The original population is 30 Gophers. After 2 months there are 38. When will there be 45 gophers? round answer to nearest tenth of a month
July 9, 2010 by Scott

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, 500televisions are sold.
May 31, 2007 by dougal

Differential Equations
Consider the spring - mass system, shown in Figure 4.2.4. consisting of two unit masses suspended from springs with spring constants 3 and 2, respectively. Assume that there is no damping in the system. Show that the displacements u1, and u2 of the masses from their respective...
May 13, 2014 by Daoine

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 change of potential ...
November 14, 2008 by Beth

Calculus with Diffrential Equations: Pleease help?
Suppose that represents the temperature of a cup of coffee set out in a room, where T is expressed in degrees Fahrenheit and t in minutes. A physical principle known as Newton’s Law of Cooling tells us that dT/dt = -1/15T+5 15T + 5. a) Supposes that T(0) = 105. What does the ...
November 30, 2014 by Bridget

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 differential, dp is the ...
May 12, 2015 by Brandy

Math(differential equations)
An 8 lb weight stretches a spring 8 feet. The weight is moving through a surrounding medium that has a damping effect equal to the instantaneous velocity of the weight. Initially the weight is displaced 4 feet below the equilibrium position with a downward velocity of 2 ft/sec...
May 3, 2012 by Meredith

Differential Equations
x dy/dx + y = 1/y^2, solve using bernoulli's equation. i got to du/dx + (2u)/x = 2x(u)^(-1/2). the u^(-1/2) is obviously a problem if im going to solve it using an integrating factor. if that is not what you yourself have gotten to then please show me my error.
September 25, 2012 by Bryant

psy
Can you please help me get some datas, to help me answer this question. What is the difference between absolute continuity and differential continuity? Do an individual's experiences impact differential continuity? Provide specific examples.
November 11, 2008 by rose - Ms. Sue

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