Full solution: In each of 13 through 17:(a) Show that x = 0 is a regular singular point

Chapter 5, Problem 15

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In each of 13 through 17:(a) Show that x = 0 is a regular singular point of the given differential equation.(b) Find the exponents at the singular point x = 0.(c) Find the first three nonzero terms in each of two solutions (not multiples of each other)about x = 0.x(x 1)y + 6x2y + 3y = 0; see 3

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