; x(0)=o, x'(0)=2, y(0)=0
Thank you for helping me understand how to solve this system of equations!!!
Taking the transform of both sides gives
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.