What is the solution for (2+x)(dy)/(dx)=3y ?

The solution for (2+x)(dy)/(dx)=3y is y=8e^{c_{1}}+12e^{c_{1}}x+6e^{c_{1}}x^2+e^{c_{1}}x^3

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(2+x)(dy)/(dx)=3y

(2 + x) \frac{d y}{d x} = 3 y

y = 8 e^{c_{1}} + 12 e^{c_{1}} x + 6 e^{c_{1}} x^{2} + e^{c_{1}} x^{3}

Solution steps

(2 + x) \frac{d y}{d x} = 3 y

Solve separable ODE:

y = 8 e^{c_{1}} + 12 e^{c_{1}} x + 6 e^{c_{1}} x^{2} + e^{c_{1}} x^{3}

y = 8 e^{c_{1}} + 12 e^{c_{1}} x + 6 e^{c_{1}} x^{2} + e^{c_{1}} x^{3}

\int_{0}^{2} 2 t^{3} d t

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

8 t^{2} + 9

\int x^{2} e^{1 x} d x

\int \frac{e ^{x} + e ^{2 x}}{e ^{x}} d x

What is the solution for (2+x)(dy)/(dx)=3y ?
The solution for (2+x)(dy)/(dx)=3y is y=8e^{c_{1}}+12e^{c_{1}}x+6e^{c_{1}}x^2+e^{c_{1}}x^3