In Problems 19 through 22, first derive a recurrence relation giving c n for n 2

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In Problems 19 through 22, first derive a recurrence relation giving cn for n ≧ 2 in terms of c0 or c1 (or both). Then apply the given initial conditions to find the values of c0 and c1. Next determine cn (in terms of n, as in the text) and, finally, identify the particular solution in terms of familiar elementary functions.

y'' - 2y' + y = 0; y(0) = 0, y'(0) = 1

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Differential Equations And Linear Algebra

ISBN: 9780134497181

4th Edition

Authors: C. Edwards, David Penney, David Calvis

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