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Homework Help: System of ODEs

  1. May 3, 2005 #1
    The problem goes like this:

    "Show that [itex]x = \sin(2t) + e^t, y = 2\cos(2t) - 4e^t[/itex] is a solution of
    [tex]x' = 5e^t + y, y' = -4x [/tex]
    and find a family of solutions of this system.

    I already did the 'showing' part. I am having trouble finding the general solution for this system. Can someone help me?
  2. jcsd
  3. May 3, 2005 #2


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    Science Advisor
    Homework Helper

    Have you looked at the second derivative of x?
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