Matrix-vector differential equation proof

  • #1

Homework Statement

Prove that x(t) = c1y1e^-2t + c2y1e^5t

is a solution to x' = Ax

given that y1 is the matrix

( 1 )
( -3 ) and y2 is the matrix


Homework Equations

The Attempt at a Solution

I've never had to do a lot of proofs and I am not really sure of where to start this problem. I know I'm supposed to differentiate X but I don't know how to do so..

Answers and Replies

  • #2
Homework Helper
hi tracedinair

do you have the matrix A? if so it could be as easy as calculating x' and A.x and showing they are equivalent