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Differential EquationsEasyFrobenius & Special Functions

Frobenius & Special Functions · Easy problem

Bessel's equation of order 13\tfrac13, x2y′′+xy′+(x2−19)y=0x^2y'' + xy' + \left(x^2 - \tfrac19\right)y = 0, has a regular singular point at x=0x = 0. Compute the difference r1−r2r_1 - r_2 between the larger and smaller indicial roots. Express your answer as a common fraction.