A function satisfies (x+1)f'(x)-2(x^2+x)f(x)= e^ x^2 x+1

MATHEMATICS · Numerical · CBSE · Mathematics · Differential Equations · Differential Equations

Problem

A function y=f(x)y=f(x) satisfies (x+1)f′(x)−2(x2+x)f(x)=ex2x+1,x>−1.(x+1)f'(x)-2(x^2+x)f(x)=\frac{e^{x^2}}{x+1}, \qquad x>-1. If f(0)=5f(0)=5, find f(x)f(x).

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