Question: Legendre Polynomial In tutorial section LP 1.2.3, we worked out the angular ODE from the separation of variables for Laplace's equation in spherical polar coordinates,

Legendre Polynomial

Legendre Polynomial In tutorial section LP 1.2.3, we worked out the angular

In tutorial section LP 1.2.3, we worked out the angular ODE from the separation of variables for Laplace's equation in spherical polar coordinates, under the assumption of azimuthal symmetry (m = (]. Under the change of variable r = cos 8, we found Legendre's equation (LP eqn 11): (1 - x?) y" - 2ry' + Ay = 0 where A is a separation constant and y(I) is a function of I = cos 6. Compute the Wronskian functional for this differential equation. [P = X Enter your answer in terms of only A, I. Using your Wronskian result, find all values of a where the equation is singular Enter your answer as a list: ($1, 12, . . .). 1.0. - 1 X Note: . Wronskian functionals are explained fully in the SOLDE section of your tutorial . Remember that your tutorial has Hints in it, at the end of each chapter, If you're stuck, they are often quite useful

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