Hi,

I was given this problem in my differential equations course and I'm not too sure how to solve for it:

Let A=A(t) be an n x n matrix, letybe a solution of the systemy=Ayon (a,b) and let P=P(t) be an n x n matrix, invertible and differentiable on (a,b).

Find a matrix B such that Pyis a solution to the systemx=Bxon (a,b).

Thanks a lot for your help.