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(18%) Solve x2y. + (2x + 3x2)y,-2y solutions y-x n-0CnXn, cn# 0 a) (590) Write down the indicial equation of the differential equation and find 3. 0 by finding its Frobenius series the indicial exponent, r. (5%) y!(x) is a polynomial solution with finite series terms. Please find it. (8%) y2(x) is another independent series solution. Please write the recurrence relation of cn and find the first three nonzero terms. b) c)

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