- #1

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## Homework Statement

Prove that x(t) = c

_{1}y

_{1}e^-2t + c

_{2}y

_{1}e^5t

is a solution to x' = Ax

given that y

_{1}is the matrix

( 1 )

( -3 ) and y

_{2}is the matrix

(2)

(1)

## 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..