The differential equation (1 - x2 )y" - xy' + a2y = 0 where a is a parameter, is known
Chapter 5, Problem 29(choose chapter or problem)
The differential equation (1 - x2 )y" - xy' + a2y = 0 where a is a parameter, is known as Chebyshev's equation after the Russian mathematician Pafnuty Chebyshev (1821- 1894). Find the general solution y(x) = c0y1(x) + c1y2(x) of the equation, where y1 (x) and y2(x) are power series solutions centered at the ordinary point 0 and containing only even powers of x and odd powers of x, respectively.
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