The differential equation , where is a parameter, is known as Chebyshevs equation after
Chapter 6, Problem 53(choose chapter or problem)
The differential equation , where is a parameter, is known as Chebyshevs equation after the Russian mathematician Pafnuty Chebyshev (18211894). When is a nonnegative integer, Chebyshevs differential equation always possesses a polynomial solution of degree n. Find a fifth degree polynomial solution of this differential equation.
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