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

\frac{( 2 + x ) 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

\frac{( 2 + x ) 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}

x \to a lim (x)

x \to 7 lim (8 x - 3)

\frac{\partial}{\partial u} (tan (u v^{3}))

(x y^{2} + x^{3}) d x + (y^{3} + x^{2} y) d y = 0

\frac{d}{d x} (tan (cos (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