(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

Verify that [tex]\arctan(2/(x^2y^2-1))[/tex] satisfies Laplace's equation when [tex]x^2+y^2\ne 1[/tex].

You can also see at: (Problem 38)

http://books.google.ca/books?id=qh1...nepage&q=arctan(2/(x2y2-1)) laplacian&f=false

2. Relevant equations

3. The attempt at a solution

I really have no clue. I keep getting [tex]\frac{12x^4y^6-8x^2y^4-20y^2+12x^6y^4-8x^4y^2-20x^2}{(x^4y^4 - 2x^2y^2 + 5)^2}=\frac{4(x^2+y^2)(3x^2y^2-5)(x^2y^2+1)}{(x^4y^4 - 2x^2y^2 + 5)^2}[/tex], which is obviously not zero.

**Physics Forums | Science Articles, Homework Help, Discussion**

Dismiss Notice

Join Physics Forums Today!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

# Homework Help: Arctan(2/(x^2y^2-1)) satisfies Laplace's equation?

Can you offer guidance or do you also need help?

Draft saved
Draft deleted

**Physics Forums | Science Articles, Homework Help, Discussion**