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1. The problem statement, all variables and given/known data

I want to solve:

∇^{2}E, for E = exp(ikr)/r, where r = √x^{2}+y^{2}+z^{2}

Thus I must solve:

d^{2}E/dx^{2}+d^{2}E/dy^{2}+d^{2}E/dy^{2}

The derivatives themselves are simple, but very time-consuming! Can you think of any tricks I can use to simplify the calculation?

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# Ideas on how to easily solve this long derivation?

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