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Math Help - Using maple to solve a an equation where one solution is known

  1. #1
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    Using maple to solve a an equation where one solution is known

    What command would I use to ask maple to solve the following

    x''=\frac{t+1}{t}x'-\frac{1}{t}x

    with x_1(t)=e^t

    I know about the dsolve command but I'm not sure how to tell it what the other solution is.
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  2. #2
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    Here is a screenshot of the maple commands.

    maple.pdf

    Now use set

    c_1=0\quad c_2=1

    this gives

    u(t)=(t+1)e^{-t}

    y=u(t)e^{t}=(t+1)e^{-t}e^{t}=t+1

    So this is the other linearly independent solution.
    Last edited by TheEmptySet; May 28th 2011 at 06:26 PM. Reason: typo
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