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Cramer's Rule

  1. Dec 3, 2006 #1
    Can someone tell me if I did this right because my solution seems wrong, but I've done it a couple times and get the same answer. I'm given the following:
    x' + 2y' + x = 0
    x' - y' + y = 1
    and the initial values of x(0) = 0 and y(0) = 1
    The idea is to solve this initial value problem.

    Can someone please tell me if this is right? Thanks.
  2. jcsd
  3. Dec 4, 2006 #2


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    Science Advisor

    That's not at all the way I would do the problem (I detest "Laplace transform") but that's exactly what I got as the answer: x(t)= 0 and y(1)= 1. Of course, you could have checked that yourself. Since x and y are constants, there derivatives are 0 and the equations reduce to 0+ 2(0)+ 0= 0 and 0- 0+ 1= 1.
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