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Thread: Constants in a PDE

  1. #1
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    Constants in a PDE

    Hi,

    I've solved the following PDE by treating it as an ODE:

    $\displaystyle u_{yy} + 10u_{y} + 25u = e^{-5y}$

    My solution is

    $\displaystyle u(x, y) = (A + By + 0.5y^2)e^{-5y}$

    Have I treated the constants correctly?

    Thanks.
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  2. #2
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    Re: Constants in a PDE

    Should all of my constants be arbitrary functions of $\displaystyle x$?
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  3. #3
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    Re: Constants in a PDE

    Bump :)
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  4. #4
    Behold, the power of SARDINES!
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    Re: Constants in a PDE

    Quote Originally Posted by algorithm View Post
    Should all of my constants be arbitrary functions of $\displaystyle x$?
    Yes. You can check you solution by just taking the derivatives.
    Thanks from algorithm
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  5. #5
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    Re: Constants in a PDE

    Thanks.
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