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Math Help - 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:

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

    My solution is

    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 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 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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