notes5-2 - SECTION 5.2 POWER SERIES AND DIFFERENTIAL...

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Unformatted text preview: SECTION 5.2 POWER SERIES AND DIFFERENTIAL EQUATIONS Solve the given differential equation by means of a power series about the given point x0 . Find the recurrence relation; also find the first four nonzero terms in each of two solutions that form a fundamental set (unless the series ends sooner). If possible, find the general term in each solution. y + xy + 2y = 0, x0 = 0 Find the first five nonzero terms in the solution of the following initial value problem. (1 − x)y + xy − y = 0, HOMEWORK: SECTION 5.2 y (0) = −3, y (0) = 2 ...
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This note was uploaded on 02/14/2012 for the course M 427K taught by Professor Fonken during the Spring '08 term at University of Texas at Austin.

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notes5-2 - SECTION 5.2 POWER SERIES AND DIFFERENTIAL...

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