Find the general solution and solve the IVP y''+y'-y=0, y(0)=2, y'(0)=0

Find the general solution and solve the IVP

y''+y'-y=0, y(0)=2, y'(0)=0

Expert Solution

Colby Messinger answered 1 year ago

1) . Solve the IVP: y^''+6y^'+5y=0, y(0)=1, y^' (0)=3 2. Find the general solution to each...

1) . Solve the IVP: y^''+6y^'+5y=0, y(0)=1, y^' (0)=3 2. Find the general solution to each of the following: a) y^''+2y^'+5y=e^2x b) y^''+2x/(x^2+1) y'=x c) y^''+4y=1/(sin⁡(2x)) (use variation of parameters)

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

Differential Equations Use a series solution to solve the IVP . y′′−4y= 0 y(0) = 3...

Differential Equations Use a series solution to solve the IVP . y′′−4y= 0 y(0) = 3 y′(0) = 5. (Your answer will use one or more series.)

Please draw the solution without solve the IVP y"+y=dirac function (t-pi/2) y(0)=0, y'(0) . (Label y(t)...

Please draw the solution without solve the IVP y"+y=dirac function (t-pi/2) y(0)=0, y'(0) . (Label y(t) and t number as well) I need a professional expert to answer this question. (be able to follow the comment) (Show the step for what you need to get for drawing this solution as well)

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

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

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

Find the general solution and solve the IVP y''+y'-y=0, y(0)=2, y'(0)=0

Solutions

Expert Solution

Related Solutions

1) . Solve the IVP: y^''+6y^'+5y=0, y(0)=1, y^' (0)=3 2. Find the general solution to each...

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

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Please draw the solution without solve the IVP y"+y=dirac function (t-pi/2) y(0)=0, y'(0) . (Label y(t)...

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

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Use the Laplace transform to solve the IVP: y^'''+y^''+3y^'-5y =16e^(-t); y(0)=0; y'(0)=2; y^'' (0)= -4

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