- #1
Bassa
- 46
- 1
Homework Statement
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Change the independent variable from x to θ by x=cosθ and show that the Legendre equation
(1-x^2)(d^2y/dx^2)-2x(dy/dx)+2y=0
becomes
(d^2/dθ^2)+cotθ(dy/dθ)+2y=0
2. Homework Equations
The Attempt at a Solution
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I did get the exact form of what the equation should become, but I had a 2 in front of the cotθ term. I was wondering if the answer that the book provides is missing a factor of 2 in front of the cotθ term?