Question: Consider the differential equation which has a regular singular point at x = 0. The indicial equation for x = 0 is with roots

Consider the differential equation which has a regular singular point at x = 0. The indicial equation for x = 0 is with roots (in increasing order) r = -1/2 x+ 0 and r2 = 0 x+ Find the indicated terms of the following series solutions of the differential equation: x +0 (a) y = x(3+ (b) y = x (3+ The closed form of solution (a) is y=x^(-1/2)(3-3x) x+0 x+ 2x(x 1)y" +3(x 1)y' y = 0 x+ +1/2 r+ 0 x +...) x 4 +...) = 0

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