1. The problem statement, all variables and given/known data 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. Relevant equations 3. The attempt at a solution 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?