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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

(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..
 

Answers and Replies

  • #2
lanedance
Homework Helper
3,304
2
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
 
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