Finding a constant for a partial differential equation

  1. Can anyone help me with this question? I tried taking the derivative of u with respect to x and then summed the third derivative, but I'm getting nowhere. Any help would be great, thanks.

    Let u(x1, x2, … , xn) = [​IMG], where a is a constant, and n is given.

    Find all the values of the constant a, if any, for which the function u satisfies the partial differential equation [​IMG] .
     
  2. jcsd
  3. CarlB

    CarlB 1,204
    Science Advisor
    Homework Helper

    Do you think it's possible that you should be making a substitution for the sum of x_i squared? It just seems that polar coordinates might be an easier way to work the problem. Not that it would be easy.

    Carl

    Now. How do I make that little "lightbulb" that I accidentally clicked on go away?
     
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