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Find g(t)?

  1. Jul 21, 2013 #1
    If the Wronskian W of f and g is 3e4t, and if f(t)=e2t, find g(t).

    Here's the work:
    e2tg'(t)-(e2t)'g(t)=3e4t
    e2tg'(t)-2e2tg(t)=3e4t
    g'(t)-2g(t)=3e2t
    p=-2
    e^integral of p=e-2t
    g(t)=?
     
  2. jcsd
  3. Jul 21, 2013 #2
    I think you should leave the posting template, it's listed in the rules of the forum.

    But anyways, it looks like you've shown that g(t) satisfies a linear differential equation. It also looks like you've listed an integrating factor of e^(∫-2 dt).

    So, you're pretty much done. Do you know how to apply an integrating factor to solve a linear differential equation?
     
  4. Jul 21, 2013 #3
    Thanks, I've already solved it.
     
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