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Differential EquationsEasySeries Solutions

Series Solutions · Easy problem

A function is given by the power series y=∑n=0∞xnn+1y = \sum_{n=0}^{\infty} \dfrac{x^n}{n+1}. Differentiating term by term, find the coefficient of x2x^2 in the series for y′y'. Express your answer as a common fraction.