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Solve-the-DE-using-the-method-of-Frobenius-1-x-2-y-2xy-n-n-1-y-0-




Question Number 223988 by MirHasibulHossain last updated on 12/Aug/25
Solve the DE using the method of Frobenius :   (1−x^2 )y′′−2xy′+n(n+1)y=0
$$\mathrm{Solve}\:\mathrm{the}\:\mathrm{DE}\:\mathrm{using}\:\mathrm{the}\:\mathrm{method}\:\mathrm{of}\:\mathrm{Frobenius}\::\: \\ $$$$\left(\mathrm{1}−\mathrm{x}^{\mathrm{2}} \right)\mathrm{y}''−\mathrm{2xy}'+\mathrm{n}\left(\mathrm{n}+\mathrm{1}\right)\mathrm{y}=\mathrm{0} \\ $$

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