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Beliebt Rechnen >

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

Lösung

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

Lösung

y = - ln (x + 2) + c_{1}

Schritte zur Lösung

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

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

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

Wenn

f^{^{'}} (x) = g (x)

dann

f (x) = \int g (x) d x

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

\int - \frac{1}{x + 2} d x = - ln (x + 2) + c_{1}

y = - ln (x + 2) + c_{1}

Graph

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