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Unformatted text preview: Mathematics 238 test 3 due Monday, November 25, 2002 note : on-line references to power series may be found on-line at http://www.sosmath.com/diffeq/series/series03/series03.html http://college.hmco.com/mathematics/larson/calculus early/3e/shared/chapter15/clc7eap1505.pdf I found many more references by typing power series differential equationsinto the google search engine (http://www.google.com). (1) Given the differential equation y 00 + ty + 4 y = 0 (a) Find the recursion relation for the power series solution about t = 0. (b) For which values of t will power series solutions of this differential equation converge? (c) Find two linearly independent solutions through the degree five term. Write the general solution through the degree five terms. (d) Through the degree five term, write the solution which satisfies the differ- ential equation & the initial conditions y (0) = 2 and y (0) =- 3....
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- Spring '09