The Chebyshev equation is(1 x2)y xy + 2y = 0,where is a constant; see of Section 5.3.(a)

Chapter 5, Problem 12

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The Chebyshev equation is(1 x2)y xy + 2y = 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 ateach of these singularities.(b) Find two solutions about x = 1.

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