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)

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

(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}

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)