Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

Poissons equation

  1. Jul 19, 2012 #1
    I thought of a method to solving poisons equation the other day, tell me if this is right.

    we have, ∂(∂ψ/∂x)/∂x+∂(∂ψ/∂y)/∂y=P(x)A(y)
    Assuming the solution is the product of two single variable functions,


    However, for the left hand side to equal the right hand side, we must be able to factor out either P(x) or A(y) from both terms, for the sake of this explanation, we will take P(x) to be the one that could be factored out, dividing by P(x) on both sides..


    Now from this, we can see that G''(x)/P(x) and G(x)/P(x) equal some pair of constants (k,q)

  2. jcsd
  3. Jul 20, 2012 #2


    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    2016 Award

    If G''(x)/P(x) and G(x)/P(x) equal the pair of constants (k,q) then G''(x) = kP(x), G(x) = qP(x). Thus qP''(x) = kP(x). So this is only going to work for certain functions P(x).
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook

Similar Discussions: Poissons equation