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

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

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Popular >

(dy)/(dx)=((1+xy))/(1+x)

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

y = - \frac{1}{1 + x} + \frac{c _{1}}{e ^{- 1 - x + c_{1}} + e ^{- 1 - x + c_{1}} x}

Solution steps

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

Solve linear ODE:

y = - \frac{1}{1 + x} + \frac{c _{1}}{e ^{- 1 - x + c_{1}} + e ^{- 1 - x + c_{1}} x}

y = - \frac{1}{1 + x} + \frac{c _{1}}{e ^{- 1 - x + c_{1}} + e ^{- 1 - x + c_{1}} x}

\frac{x}{x + 9}

\int (e^{2 x} + 3)^{4} \cdot e^{2 x} d x

y^{^{''}} + 121 y = cos (4 t)

\frac{d}{d x} (9 e^{x} + \frac{8}{3 x})

\frac{d}{d t} (10 t e^{- 5 t})

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