Ononot — Let f(x) = \sum{n=0}^{\infty} an x^n be a power series with

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Power Serieshard

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Let $f(x) = \sum_{n=0}^{\infty} a_n x^n$ be a power series with radius of convergence $R$ . If $f(x)$ satisfies the differential equation $f'(x) = x f(x) + 1$ with $f(0) = 1$ , what is the coefficient $a_3$ ?