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

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

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

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

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

Solution steps

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

Solve linear ODE:

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

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

\frac{d}{d t} (t - cos (t))

x \to + 2 lim (x 13 - x^{2})

\int 1 + \frac{2}{x} d x

\frac{d}{d x} (cos (sin (5 x^{2})))

\frac{d}{d x} (\frac{x ^{3} - 1}{x ^{3} + 1})

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