solve the d.e. equation using Laplace inverse transform y'-y = xex, y(0)=0

solve the d.e. equation using Laplace inverse transform

y'-y = xe^x, y(0)=0

Expert Solution

milcah answered 1 year ago

Solve the differential equation using the Laplace transform. y''' + 3y''+2y' = 100e-t , y(0) =...

Solve the differential equation using the Laplace transform. y''' + 3y''+2y' = 100e-t , y(0) = 0, y'(0) = 0, y''(0) = 0

Use Laplace transform and inverse Laplace transform to solve the givien initial value problems (c) y′′...

Use Laplace transform and inverse Laplace transform to solve the givien initial value problems (c) y′′ −2y′ +2y=e−t, y(0)=0, y′(0)=1

solve using the laplace transform y''-2y'+y=e^-1 , y(0)=0 , y'(0)=1

Solve using Laplace and Inverse Laplace Transforms. Y’’’-y’’-4y’+4y=0 y(0)=1 y’(0)=9 y’’(0)=1

Solve using laplace transform y" + 3y = -48t^2e^3t ; y(0) = 2 , y(0) =...

Solve using laplace transform y" + 3y = -48t^2e^3t ; y(0) = 2 , y(0) = 1 y" + 6y' + 5y = t - tu(t-2); y(0) = 1 , y'(0) = 0

using the Laplace transform solve the IVP y'' +4y= 3sin(t) y(0) =1 , y'(0) = -...

using the Laplace transform solve the IVP y'' +4y= 3sin(t) y(0) =1 , y'(0) = - 1 , i am stuck on the partial fraction decomposition step. please explain the decomposition clearly.

Solve using the Laplace transform: y" + 4y = g(t) where y(0) = y'(0). Hint: Use...

Solve using the Laplace transform: y" + 4y = g(t) where y(0) = y'(0). Hint: Use the convolution theorem to write your answer. You may leave your answer expressed in terms of an integral.

Solve the differential equation by Laplace transform y^(,,) (t)-2y^' (t)-3y(t)=sint where y^' (0)=0 ,y=(0)=0

Solve with Laplace transform 1. y''+ 4 t y'− 4y = 0, y(0) = 0, y'(0)...

Solve with Laplace transform 1. y''+ 4 t y'− 4y = 0, y(0) = 0, y'(0) = −7 2. (1− t) y''+ t y' − y = 0, y(0) = 3, y'(0) = −1

Use the Laplace transform to solve y'' + 4y' + 5y = 1, y(0)= 1, y'(0)...

Use the Laplace transform to solve y'' + 4y' + 5y = 1, y(0)= 1, y'(0) = 2

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