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Differential EquationsMediumSeries Solutions

Series Solutions · Medium problem

Solve (1+x) y′=3y(1 + x)\,y' = 3y with y(0)=1y(0) = 1 by a power series y=∑n=0∞anxny = \sum_{n=0}^{\infty} a_n x^n. The series stops after finitely many terms. Find the value of the solution at x=1x = 1.