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Differential EquationsEasySeries Solutions

Series Solutions · Easy problem

Solve y′=x2yy' = x^2 y with y(0)=3y(0) = 3 by a power series y=∑n=0∞anxny = \sum_{n=0}^{\infty} a_n x^n. Find a6a_6. Express your answer as a common fraction.