The Chebyshev equation is (1 x2) y__ xy_ + 2 y = 0, where is a constant; see of Section

Chapter 5, Problem 8

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The Chebyshev equation is (1 x2) y__ xy_ + 2 y = 0, where is a constant; see of Section 5.3. a. Show that x = 1 and x = 1 are regular singular points, and find the exponents at each of these singularities. b. Find two solutions about x = 1.

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