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单词 legendre's differential equation
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Legendre's differential equation
Legendre's differential equation n. (also Legendre differential equation) a second order differential equation which frequently arises in physics, such as when modelling the flow of an ideal fluid past a spherical body, a solution to which being found by Legendre in 1782.This equation is often given in the form (1 − x2) d2y/dx2 − 2x dy/dx + n(n + 1)y = 0.extracted from Legendren.
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