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Math Help - Verifying the solution to an ODE

  1. #1
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    Verifying the solution to an ODE

    I was working on solving a partial differential equation and I reduced it to an ODE, namely \frac{-T(t)}{2t} = \frac{\partial T}{\partial t}. I know the answer is T(t) = \frac{1}{\sqrt{t}}, which works as a solution, however I'm really rusty and don't know what a good way to tackle solving the ODE is. I tried digging out my old laplace transforms tables but I'm hitting a brick wall.

    Any suggestions?

    Anthony
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  2. #2
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    Re: Verifying the solution to an ODE

    It separates.
    Thanks from topsquark
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  3. #3
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    Re: Verifying the solution to an ODE

    I'm totally blind, thank you so much haha
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