Solve the First-Order linear differential equation of \left(x+1\right)\frac{dy}{dx}+2y=x

y=\frac{2x^{3}+3x^{2}+C}{6x^{2}+12x+6},C \in \mathbb{R}

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Question :

(x+1)fracdydx+2y=x

(x + 1) \frac{d y}{d x} + 2 y = x

y = \frac{2 x ^{3} + 3 x ^{2} + C}{6 x ^{2} + 12 x + 6}, C \in R

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