a) Solve IVP: y" + y' -2y = x + sin2x; y(0) = 1, y'(0) = 0

b) Solve using variation of parameters: y" -9y = x/e^3x

Expert Solution

Colby Messinger answered 1 year ago

apply picard iteration to ivp y’=2y^2, y(0)=1 and solve the solution apply picard iteration to ivp...

apply picard iteration to ivp y’=2y^2, y(0)=1 and solve the solution apply picard iteration to ivp y’=2y^1/2, y(1)=0 and solve the solution

3. Using the method of Laplace transforms solve the IVP: y'' + 3y'+2y=e2t, y(0)=1, y'(0)=1

1. solve the IVP: xy''-y/x=lnx, on (0, inifnity), y(1)=-1, y'(1)=-2 2.solve the IVP: y''-y=(e^x)/sqrtx, y(1)=e, y'(1)=0...

1. solve the IVP: xy''-y/x=lnx, on (0, inifnity), y(1)=-1, y'(1)=-2 2.solve the IVP: y''-y=(e^x)/sqrtx, y(1)=e, y'(1)=0 3. Given that y1(x)=x is a solution of xy''-xy'+y=0 on (0, inifinity, solve the IVP: xy''-xy'+y=2 on(0,infinity), y(3)=2, y'(3)=1 14. solve the IVP: X'=( 1 2 3) X, X(0)=(0 ##################0 1 4####### -3/8 ##################0 0 1 ########1/4

Question

a) Solve IVP: y" + y' -2y = x + sin2x; y(0) = 1, y'(0) = 0

Solutions

Expert Solution

Related Solutions

apply picard iteration to ivp y’=2y^2, y(0)=1 and solve the solution apply picard iteration to ivp...

3. Using the method of Laplace transforms solve the IVP: y'' + 3y'+2y=e2t, y(0)=1, y'(0)=1

1. solve the IVP: xy''-y/x=lnx, on (0, inifnity), y(1)=-1, y'(1)=-2 2.solve the IVP: y''-y=(e^x)/sqrtx, y(1)=e, y'(1)=0...

Solve the IVP using Laplace transforms x' + y'=e^t -x''+3x' +y =0 x(0)=0, x'(0)=1, y(0)=0

Use power series to solve the initial value problem x^2y''+xy'+x^2y=0, y(0)=1, y'(0)=0

Use laplace transform to solve IVP 2y”+3y’+y=8e^(-2t) , y(0)=-4 , y’(0)=2

Solve the system by Laplace Transform: x'=x-2y y'=5x-y x(0)=-1, y(0)=2

solve the given DE or IVP (Initial-Value Problem). a. 2y′ + y cot x = 8y-1...

Solve the initial value problem: y''+2y'+y = x^2 , y(0)=0 , y'(0) = 0

Solve the following problems: (a) y'' - 2y' + 5y = 0 with y(0) = 1...