Find the Laplace transform of: y" + 5y- y = et - 1; y(0) = 1, y'(0) = 1

Use convolution and Laplace transform to evaluate y''+y=sin(t) , y(0)=1 , y'(0)=-1

Solve the shifted data IVP by the Laplace transform method showing your work in details. y"-xy'-y=0          y(0)=2, y'(0)=3

Use Laplace transform technique to solve y"+2y +2y=e-t, y(0) = - 4, y'(0) = -2

Find the Fourier transform for f (x) = xe-cl=l, c>0 xe-c/x|

Use Laplace transform technique to solve y +2y +2y= e-, y(0) = – 4, y'(0) = - 2

h(t)=t^2sin(3t) laplace transform

Find the Laplace transform; y''+y'+3y=e^-3t y'(0)=y(0)=0

Find the laplace transform of f(t) = t e^2t sin(3t)

Find the transform of the function:f(t) = tg'(t)