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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

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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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