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Differential EquationsEasySeries Solutions

Series Solutions · Easy problem

Solve y′+y=0y' + y = 0 with y(0)=1y(0) = 1 by a power series y=∑n=0∞anxny = \sum_{n=0}^{\infty} a_n x^n. Find a5a_5. Express your answer as a common fraction.