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Solution of Initial Value Problem

  1. Feb 8, 2012 #1
    1. The problem statement, all variables and given/known data
    Determine the solution of the IVP y' + 4ty = 4t, y(0) = 6

    2. Relevant equations

    3. The attempt at a solution
    p(t) = 4t
    g(t) = 4t

    μ(t) = e[itex]^{\int4tdt}[/itex]
    = e[itex]^{\int p(t)}[/itex]
    = e[itex]^{\int4tdt}[/itex]
    = e[itex]^{2t^{2}}[/itex]

    is this all I need? because i did
    [itex]\frac{d}{dt}[/itex](y * μ(t)) = p(t) * g(t)
    and the professor made a big red X mark on it, so I am confused.
  2. jcsd
  3. Feb 8, 2012 #2


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    Science Advisor
    Homework Helper

    Hi DrunkApple! :smile:
    nooo :redface:

    you're multiplying the whole equation by e2t2,

    so the RHS should be e2t2 * g(t), shouldn't it? :wink:
  4. Feb 8, 2012 #3
    can't believe i made that mistake...
    thank you super hero tim-tim
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