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Verifying a solution of the diffusion equation

  1. Sep 6, 2015 #1
    This is my attempt at the solution. I have been told that the given function is a solution. I just need to prove it. As you can see that I am stuck. What am I doing wrong?

  2. jcsd
  3. Sep 6, 2015 #2


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    What's the definition of the ∇ operator here?

    Is ∇F = Fx + Fy, where Fx = ∂F / ∂x and Fy = ∂F / ∂y?

    Similarly, is ∇2 supposed to be the Laplacian in cartesian coordinates?
  4. Sep 6, 2015 #3
    The Laplacian is supposed to be evaluated in spherical coordinates in this problem. What is the equation for the Laplacian in spherical coordinates?

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