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Math Help - Wronskian Proof

  1. #1
    Junior Member
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    Wronskian Proof

    Hi,

    I was given this problem in my diff equation class and I have no idea how to go about proving it. Thanks a lot for your help:

    Let A=A(t) be an n x n matrix continuous on (a,b) and let c be in (a,b) and let W(t) be the Wronskian of a set of n solutions of the equation x=Ax.

    Show that for any a < t < b, W(t) = W(c)*exp(\int_c^t \! trace(A(s))ds)
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  2. #2
    A Plied Mathematician
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    See here. If you scroll down to the end, the wiki article has a proof.
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