Question

Use laplace to solve the system to differential equations.

dx/dt + 2y - x = 0

dy/dt -2x -y = 0

x(0) =1 and y(0) = 0

I don't need the full answer or anything... Just a guide or quick overview of exactlyy What i'm meant to do would be sufficient...

What i did was, find the laplace of each one. I then put the first one in terms X(t) and and subbed it into the second one, to find the solution of y(t).. But that answer was wrong. thanks guys!