Thread: Please help me use Laplace to solve this system of equations!

; x(0)=o, x'(0)=2, y(0)=0


Thank you for helping me understand how to solve this system of equations!!!

Originally Posted by Bananna

; x(0)=o, x'(0)=2, y(0)=0


Thank you for helping me understand how to solve this system of equations!!!

Here is the first one

Taking the transform of both sides gives



and


Now we have a system of Algebraic equaions. So isolate Y is the 2nd equation to get



Taking the inverse transform (by any method you know)

Here is using the convolution theorem we get



This should get you started. Good luck.

You got me just where I needed to be, that wasn't difficult thanks for the help!