# Verifying a solution of the diffusion equation

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1. Sep 6, 2015

### Raj Batra

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. Sep 6, 2015

### SteamKing

Staff Emeritus
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?

3. Sep 6, 2015

### Staff: Mentor

The Laplacian is supposed to be evaluated in spherical coordinates in this problem. What is the equation for the Laplacian in spherical coordinates?

Chet