Find a power series solution of the form y x 0 Cnx of the given...
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Calculus
Find a power series solution of the form y x 0 Cnx of the given differential equation x y y 0 First compute y x Use cn for c in your answer Then x y x y Co C1 Cn n 1 Use c0 for co c1 for c cn for c and cnm1 for C 1 in your answer Requiring that the terms of this series for x y y vanish gives X7 1 Cn 1 for n 2 100 x 2 The series solution converges to the familiar function y f x x
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