TAM310hw04 - nius series in x Find the ±rst three nonzero terms in each of two linearly independent solutions a 2 x 2 y pp x x 1 y p(2 x 1 y = 0

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TAM 310 Advanced Engineering Analysis I Spring 2008 Prof.R.Rand Homework No.4 (Due Tuesday Feb.19) 1. Find the general solution to the following two ODE’s in the form of power series in x. Find the ±rst three nonzero terms in each of two linearly inde- pendent solutions: a) ( x 2 + 2) y pp + 4 x y p + 2 y = 0 b) y pp + x 2 y p + x 2 y = 0 2. Find the general solution to the following two ODE’s in the form of Frobe-
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Unformatted text preview: nius series in x. Find the ±rst three nonzero terms in each of two linearly independent solutions: a) 2 x 2 y pp + x ( x + 1) y p-(2 x + 1) y = 0 b) (2 x 2 + 5 x 3 ) y pp + (3 x-x 2 ) y p-(1 + x ) y = 0...
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This note was uploaded on 05/30/2009 for the course TAM 310 taught by Professor Phoenix during the Spring '08 term at Cornell University (Engineering School).

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