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Differential EquationsMediumFrobenius & Special Functions

Frobenius & Special Functions · Medium problem

Let y1,y2y_1, y_2 be solutions of Bessel's equation x2y′′+xy′+(x2−ν2)y=0x^2y'' + xy' + (x^2 - \nu^2)y = 0 on x>0x > 0 whose Wronskian satisfies W(1)=3W(1) = 3. Compute W(6)W(6). Express your answer as a common fraction.