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partial-differential-equations

Legendre's equation and Legendre polynomials

taught

Recognize Legendre's equation as the polar-angle ODE from spherical separation (axisymmetric case), and construct its polynomial solutions P_n by direct substitution.

Taught in

Requires

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Local knowledge map

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Solid arrows are required prerequisites; dashed are recommended or helpful. Lower rows are more foundational. Click any box to jump to that concept.