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Ideas on how to easily solve this long derivation?

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  1. Apr 7, 2016 #1
    Mod note: Moved from a Homework section
    1. The problem statement, all variables and given/known data

    I want to solve:
    2E, for E = exp(ikr)/r, where r = √x2+y2+z2

    Thus I must solve:
    d2E/dx2+d2E/dy2+d2E/dy2

    The derivatives themselves are simple, but very time-consuming! Can you think of any tricks I can use to simplify the calculation?
     
    Last edited by a moderator: Apr 7, 2016
  2. jcsd
  3. Apr 7, 2016 #2

    Samy_A

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    Science Advisor
    Homework Helper

    Since your function only depends on r, you could try a coordinate system that treats r nicely.
     
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