1. Not finding help here? Sign up for a free 30min tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Matrix-vector differential equation proof

  1. Apr 16, 2009 #1
    1. The problem statement, all variables and given/known data

    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)

    2. Relevant equations

    3. 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..
     
  2. jcsd
  3. Apr 16, 2009 #2

    lanedance

    User Avatar
    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
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: Matrix-vector differential equation proof
Loading...