The differential equation (1 x 2 )y'' xy' + a 2 y = 0 where
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The differential equation
(1 x2)y'' – xy' + a2y = 0
where α is a parameter, is known as Chebyshev’s equation after the Russian mathematician Pafnuty Chebyshev (1821–1894). When α = n is a nonnegative integer, Chebyshev’s differential equation always possesses a polynomial solution of degree n. Find a fifth degree polynomial solution of this differential equation.
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y c1T5x c2U5x c3T3x c4U3x c5T1x c6U1x Explanation Chebyshevs differe...View the full answer
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Related Book For 
A First Course in Differential Equations with Modeling Applications
ISBN: 978-1111827052
10th edition
Authors: Dennis G. Zill
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