# Find a general solution to the first – degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible: dx/dt=sqrt(x+t+1) Thank you in advance for your help! =)

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### Calculus-HELP!!!

Find a general solution to the first – degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible: dx/dt=sqrt(x+t+1)

### STEVE or REINY-plz help!

Find a general solution to the first – degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible: dx/dt=sqrt(x+t+1) Thank you in advance for your help! =)

### Calculus

Find a general solution to each first ¨C degree ordinary differential equation. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible. dx/dt=¡Ì(x+t+1)

### Calculus-HELP PLZ !!!!

Find a general solution to the first – degree ODE. If an initial condition is given, find the corresponding particular solution. Write solution explicitly if possible. (9x^2+y-1)dx-(4y-x)dy=0, y(1)=0

### Calculus

Find a general solution to each first – degree ODE. If an initial condition is given, find the corresponding particular solution. Write all solutions explicitly if possible. dr/dè = r^(2)/è

### 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. B. Find the particular...

### Maths

Hi I am really sorry I now people have already attempted to help me with this one already, however I am still not able to understand, I really have not done a lot of these equations and am struggling. I have put a little more information down this time, any help is much ...

### 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 ...

### Math (Calc) (Differential Equation Solution)

Some of the curves corresponding to different values of C in the general solution of the differential equation are shown in the graph. Find the particular solution that passes through the point (0, 2). y(x^2+y) = C 2xy + (x^2+2y)y' = 0 How would I start this problem to solve ...

### Circuits and electronics applications3

We are working on finding the particular solution for the first-order linear constant-coefficient ordinary differential equation: RCdvP(t)dt+vP(t)=Vicos(ωt) The new idea is to find the particular solution for the related equation RCdvPS(t)dt+vPS(t)=Viest because we expect ...

### 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) X goes to infinity

### 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

### calculus maths

Hi can some one help, explain the following please. I seem to have issues with this: 1- Find the corresponding particular solution (in implicit form) that satisfies the initial; condition y = when x = 0. 2- Find the explicit form of this particular solution. 3- What is the ...

### 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?

### Differential equations,Calculus

So I have the following differential equation. The general solution I have is: t=k(-1/r)+c I now need to find the particular solution when t=0 and the radius (r) = 1cm. So k is a constant which is approx 3.9 (5/4pi) So for the particular solution im really just plugging in the...

### Calculus

1)Find the particular solution of the differential equation xy'+3y=80xlnx (x>0) satisfying the initial condition y(1)=4 2)Find the particular solution of the differential equation y'−1y=−5x+3 satisfying the initial condition y(0)=3.

### calculus

Find the solution of the differential equation that satisfies the given initial condition. dp/dt=2 sqrt(pt), P(1)=5 my answer: P=(2/3t^(3/2)+(15sqrt(5)-10)/15)^2 how is it wrong?

### calculus

Find the particular solution to y ′ = sin(x) given the general solution is y = C − cos(x) and the initial condition y(pi/2)=1

### calculus-add

(2y-1)dy/dx=(3x^2+1) given that x=1 when y=2 plz show step thanks 2) (a)find the general solution of the equation (x-2)dy/dx+3y(x-1)/(x+1)=1 b)given the boundary condition y=5 when x=-1,find the particular solution of the condition given in (a) a little help would do thanks i ...

### 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.

### ap calculus

find the particular solution y=f(x) to the differential equation with the initial condition y(-1)=3/2

### Differential Equations

For the following initial value problem: dy/dt=1/((y+1)(t-2)), y(0)=0 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 ...

### Calculus

Consider the differential equation dy/dx = 2x - y. Let y = f(x) be the particular solution to the differential equation with the initial condition f(2) = 3. Does f have a relative min, relative max, or neither at x = 2? Since we're trying to find a max/min I don't think it's ...

### 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 ...

### calculus

Find the domain for the particular solution to the differential equation dx/dy=1/2x, with initial condition y(1) = 1.

### Calculus

Find the particular solution of the differential equation y'=(5x+21y)/7x satisfying the initial condition y(1)=5.

### 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 tangent line equation...

### Calculus

Solve the separable differential equation: dy/dt=4y^6 and find the particular solution satisfying the initial condition y(0)=-3 y(t)=?

### calculus

Find the domain for the particular solution to the differential equation dy dx equals the quotient of 3 times y and x, with initial condition y(1) = 1.

### 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.

### Calculus

Find the general solution for the differential equation. Leave your solution in implicit form. dx/dt=(2-x)sqrt(1-x)

### 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 differential equation dy/dx...

### Calc 2

Find the solution of the differential equation that satisfies the given initial condition. dy/dx= x/y, y(0) = −7

### 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 ...

### calculus

Please help with this question. I have a general solution to a differential equation of 18y^3/2= TOP LINE OF FRACTION is 2(x^2-6x+23)^3/2 and this is divided by 3. What is the particular solution for which y=2 when x=1. Then I need this particular solution in explicit form. ...

### Calc 2

Find the solution of the differential equation that satisfies the given initial condition. du/dt= (2t + sec^2(t))/(2u), u(0) = −4

### calculus

Find the particular solution that satisfies the differential equation and the initial condition. f ''(x) = x^2, f '(0) = 8, f(0) = 8 f (x) = ?

### Calculus

Consider the differential equation, dy/dx=(x+1)/y^2 with the initial condition y(0)=3. Write down the particular solution, and hence, calculate the value of y when x=8.7, to 3 dec places.

### ap calculus

let y=f(x) be the particular solution for the differential equation with the initial condition y(-1_=3/2

### Differential Equation

Find the general solution of t^2y"-3ty'+4y=0 on (0, infinity sign, given that Y1=t^2 is a solution

### Calculus - Differential Equations

Use separation of variables to find the solution to the differential equation: 4 (du/dt) = u^2, subject to the initial condition u(0)=6.

### maths

find the general solution of the following first order differential equation. t*(dy/dt) = (-y/t) + ((exp(1/t)/t^3) could you show steps in working to solution.

### Differential Equations

Find the general solution of the given differential equation. x dy/dx − y = x^2 sin x I have solved to: y = -x cos(x) + cx The second part of the question is to give the largest interval over which the general solution is defined. I would think it would be - infinity to + ...

### Calculus

Find the general solution of the DE. Write your solution explicitly. y'=(y^(2)+y^(2)cosx)^2

### Calc

Find the particular solution that satisfies the differential equation and the initial condition. f '(s) = 10s − 4s3, f(3) = 7 & f ''(x) = 6, f '(2) = 14, f(2) = 19

### math

y′=(2y+x)/x, y(1)=4 1. The resulting differential equation in x and u can be written as xu'=------ 2.Separating variables we arrive at -----du= dx/x 3.Integrating both sides and simplifying, the solution can be written in the form u+1=Cf(x) where C is an arbitrary ...

### calculus

Please help with this question. I have a general solution to a differential equation of 18y^3/2= TOP LINE OF FRACTION is 2(x^2-6x+23)^3/2 and this is divided by 3.plus Constant .I work out constant c to be zero. Is this correct? What is the particular solution for which y=2 ...

### Calculus - Differential Equations

Use separation of variables to find the solution to the differential equation: 4 (du/dt) = u^2, subject to the initial condition u(0)=6. So far, I have: 4 du = u^2 dt 4/u^2 du = dt -4/u = t+C I am unsure what to do from this point...

### Maths

Find the particular solution of the differential equation from: dy/dx = 2/27(x-3)ã(x^2-6x+23) / (y) (y>0. For which y=2 when x =1, and then give this particular solution in explicit form. regards Claire

### maths

Hi Please can you help? Find the particular solution of the differential equation from dy/dx=2/27(x-3)ã(x^2-6x+23) / (y) (y>0. for which y = 2 when x = 1, and then give this particular solution in explicit form? thank you in advance for any help regards Claire

### Differential Equations

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 ...

### 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), ...

### 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) ...

### Maths

Hi Please can you help? Really sorry for repeating the question but I wrote it incorrect before. Find the particular solution of the differential equation from dy/dx=2/27(x-3)ã(x^2-6x+23) / (y) (y>0. for which y = 2 when x = 1, and then give this particular solution in ...

### Calculus

Find the particular solution of differential equations that satisfies the initial condition dx/dy=e^(x+y) x(1)=0 I know you have to get all the y and dy on one side and x and dx on the other so you can intagrate and stuff, but im having trouble getting there

### Calculus-HELP!!!

Find the complete general solution and a particular solution that satisfies the initial conditions: 2y'' + y' - 4y = 0 y(0)=0, y'(0)=1

### calculus

Please help. I have an implicit answer to a differential equation of 18y*sqrt(y)=(2(x^2-6x+23)^3/2)/3 plus arbitrary constant. What is the particular solution to this for which y=2 when x=1. And then express this particular solution answer in an explicit form. Please help and ...

### Calculus

Find the particular solution that satisfies the differential equation and the initial conditions. f''(x) = x^2 f'(0) = 8, f(o)=4 f'(t) 10t - 12t^3, f(3) =2

### Calculus

Find the particular solution that satisfies the differential equation and the initial conditions. F'(x) = 4x^2 f (-1)=3 F'(t)=10t-12t^3 f (3)=2

### differential Equations

Find general solution [t - sqrt(ty) ] dy/dt = y

### 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 ...

### 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...

### Calculus

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

### 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.

### calculus

Find the particular solution of the following differential equation by using the given boundary conditions. y(1+x)=x(y+1)(dy/dx) when y=1 x=1

### ALGEBRA CHECK ANSWERS

Solve each equation by graphing the related function. If the equation has no real-number solution, write no solution. NOTE: when I write + it has a minus on the bottom too x^2+7=0 a. x= +7 b. x = +3.5 c. x= 0 d. no solution *** 3x^2=0 a. +3 b. +1/3 c. 0 *** d. no solution 1/4x...

### maths

Hi Please can you help Find the particular solution of the differential equation from f(x)=(x^2-6x+23)^(3/2)for which y=2 when x = 1, and then give this particular solution in explicit form? Am I correct that the following is the explicit form (not confident). 2^2=(4/81)(1^2-6...

### 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 ...

### Differential eqns

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 ...

### math

Solve each equation , then write the general solution cos(pi/2(x+1))=cospi/2 x x=1.5, 3.5 general solution: 1/2+4n but the back of the book says that the general solution is 1/2+2n isn't the period 4?

### 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.

### 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.

### Calculus

Find the specific solution of the differential equation dy/dx= 4y/x^2 with condition y(-4) = e.

### maths

find the general solution of the following first order differential equation. u(t): du/dt = u /t+2t pls show all working

### mathematics

find the general solution of the following first order differential equation. u(t): du/dt =(u/(t+2t)) pls show all working

### maths

find the general solution of the following first order differential equation. dx/dt = t*x + 6*t(exp)-t^2 pls show working

### maths

(a)(i)use the composite rule to differentiate the function f(x)=(x^2-6x+23)^(3/2). (ii)use the composite rule and your answer to part (a)(i) to show that the function g(x)=(x-2)/(x^2-6x+23)^(3/2) has derivative g'(x)=(5+9x-2x^2)/(x^2-6x+23)^(5/2). (iii)find any staionary ...

### maths

please help find the general solution of the following first order differential equation. dx/dt = tx + 6t(exp)-t^2 pls show working

### maths

help find the general solution of the following first order differential equation. t*(dy/dt) = (-y/t) + ((exp(1/t)/t^3) could you show steps in working to sol.

### calculus

find solution to differential equation given the initial conditions DQ/dt=Q/5 Q= 50 when t= 0 i don't understand this one because of the division sign.

### Differential Equation

Find the general solution of y"+4y'-2y=0

### CALC

Find the particular solution of the given differential equation dydx=−4xe(y−x^2);y=11whenx=1. THanks

### Differential Equation

Find the general solution of y"-3y=8e^(3t)+4sint

### calculus

Find the general solution to the differential equation: yy’ – x2 = 3.

### Math DE

Find the general solution of the differential equation dy/dx-4y= -5y^2

### Calculus

Find the specific solution of the differential equation dy/dx = 4y/x^2 with condition y(−4) = e. y= -1 - 4/x <- my answer y=-1*e^(1/x) y=e^(-4/x) None of these

### Calculus

Find the particular solution of the differential equation y"(x) - y(x) = 1+e^x Please help.

### math

Can someone please help? Solve the differential equation dy/dx = 6xy with the condition y(0) = 40 Find the solution to the equation y= ______

### calculus

find the general solution to the differential equation. dy/dx=secxtanx-e^x

### DIFFERENTIAL EQUATION

find the general solution .. Y=Asin4x+Bcos4x+x

### O.D.E

If someone can help me with this ODE I would greatly appreciate it. Thank you in advance! ------ Consider the differential equation dx/dt = 1/2x This is a separable O.D.E., so we know how to find all of its solutions: they are of the form x(t) = sqrt(t+c) where C is a constant...

### math

The function y_p(t) =ln(4 + 2 t), t > -4/2, is a particular solution to the differential equation y''+8y=g(t). Find g(t).

### Calculus

Find the particular solution (solved for y) for the differential equation dy/dx=2x/e^(2y) satisfying y(0)=1.

### math

find the linear differential equation that has y=5-x+2e^xsin3x as a particular solution

### math

The scientists Verhulst (1828) and Peal (1930) proposed the following growth model for a population living in an environment with limited resources (e.g. space, food, sunlight, etc): = , where is the natural growth rate of the population when resources are limited and is a ...

### Math

Find the general solution F(x,y)=C of the differential equation: (-3(x^2)y-8x)dy+(-3xy^2-8y)dx=0 Where F(x,y)=___________________

### math

find general solution in implicit form of differential equation dy/dx= 2(e^x-e^-x)/y^2(e^x+e^-x)^4 (y>0)

### maths

find in implicit form, the general solution of the differential equation dy/dx = 2(e^x-e^-x)/y^2(e^x+e^-x)^4

### Calculus

find the particular solution of the differential equation that satisfies the conditions: f''(x)=sin(x)+e^(2x) f(0)=1/4, f'(0)=1/2