What is the solution for (2+x)((dy)/(dx))-xy=0 ?

The solution for (2+x)((dy)/(dx))-xy=0 is y=(e^{2+x+c_{1}})/(4+4x+x^2)

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(2+x)((dy)/(dx))-xy=0

(2 + x) (\frac{d y}{d x}) - x y = 0

y = \frac{e ^{2 + x + c_{1}}}{4 + 4 x + x ^{2}}

Solution steps

(2 + x) (\frac{d y}{d x}) - x y = 0

Solve separable ODE:

y = \frac{e ^{2 + x + c_{1}}}{4 + 4 x + x ^{2}}

y = \frac{e ^{2 + x + c_{1}}}{4 + 4 x + x ^{2}}

\int_{0}^{2} 3 x + 4 d x

\frac{\partial}{\partial x} (7 x e^{7 x y})

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(1 - x^{2}) y^{^{'}} + x y = x

\int \frac{2 x}{k ^{2}} d x

What is the solution for (2+x)((dy)/(dx))-xy=0 ?
The solution for (2+x)((dy)/(dx))-xy=0 is y=(e^{2+x+c_{1}})/(4+4x+x^2)