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Power Serieshard
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Let P(x)=∑n=0∞anxnP(x) = \sum_{n=0}^{\infty} a_n x^nP(x)=∑n=0∞​an​xn satisfy the differential equation P′(x)=xP(x)P'(x) = xP(x)P′(x)=xP(x) with initial condition P(0)=1P(0) = 1P(0)=1. What is the pattern for the coefficients ana_nan​?