x = - 1 is a regular singular point, x = 1 is an irregular singular point and al

Question

x = - 1 is a regular singular point, x = 1 is an irregular singular point and all other points are ordinary points. x = - 1 and x = 1 arc both regular singular points, and all other points ate ordinary. x = - 1 and x = 1 are both irregular singular points, and all other points ate ordinary. Which of the following functions are analytic al x = 0? a All of the functions are analytic at x = 0. f and g are analytic at x = 0, but h is not. f and h are analytic at x = 0, but g is not. g and h are analytic at x = 0, but f is not. f analytic at x = 0, but g and h are not. g is analytic at x = 0. But f and h are not. h is analytic at a = 0, but f and g ate not. None of the functions are analytic at x = 0.

Explanation / Answer

ans for 4 is d and for 5 is d ....

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