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Beliebt Rechnen >

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

Lösung

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

Lösung

y = \frac{- x + x ^{2} + 4 e ^{- x + c_{1}}}{2}, y = - \frac{x + x ^{2} + 4 e ^{- x + c_{1}}}{2}

Schritte zur Lösung

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

Solve using substitution:

y = \frac{- x + x ^{2} + 4 e ^{- x + c_{1}}}{2}, y = - \frac{x + x ^{2} + 4 e ^{- x + c_{1}}}{2}

y = \frac{- x + x ^{2} + 4 e ^{- x + c_{1}}}{2}, y = - \frac{x + x ^{2} + 4 e ^{- x + c_{1}}}{2}

Graph

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