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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

\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}}}

Graph

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