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Math Help - differentiation

  1. #1
    Anders
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    differentiation

    Please, see my attached file and help me on the way solving a plate problem...
    Attached Thumbnails Attached Thumbnails differentiation-problem.jpg  
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  2. #2
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    It is straightforward, you have a summation u(x,y) = \sum_{n=1}^{\infty} F_n(x)G_n(y) where F_n(x) is a function of x only and G_n(y) is a function of y only then.

    Then,
    \frac{\partial u}{\partial x} = \sum_{n=1}^{\infty}F_n'(x)G_(y)
    And,
    \frac{\partial u}{\partial y} = \sum_{n=1}^{\infty}F_n(x)G_n'(y).

    And so on.
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