What is the solution for (dy)/(dx)= y/((1+x)(2+x)) ?

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

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(dy)/(dx)= y/((1+x)(2+x))

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

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

Solution steps

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

Solve separable ODE:

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

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

\frac{d}{d x} (\frac{x ^{2}}{4 - x ^{2}})

\frac{d}{d x} ((\frac{x - 2}{x + 2})^{2})

\frac{\partial}{\partial x} (40 x)

\frac{2}{( s + 1 ) ( s ^{2} + 2 ^{2} )}

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