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Beliebt Rechnen >

(dy)/(dx)=(e^x)/(6+e^x)

Lösung

\frac{d y}{d x} = \frac{e ^{x}}{6 + e ^{x}}

Lösung

y = ln (6 + e^{x}) + c_{1}

Schritte zur Lösung

\frac{d y}{d x} = \frac{e ^{x}}{6 + e ^{x}}

Ersetze

\frac{d y}{d x}

mit

y^{'} (x)

y^{^{'}} (x) = \frac{e ^{x}}{6 + e ^{x}}

Wenn

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

dann

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

y = \int \frac{e ^{x}}{6 + e ^{x}} d x

\int \frac{e ^{x}}{6 + e ^{x}} d x = ln (6 + e^{x}) + c_{1}

y = ln (6 + e^{x}) + c_{1}

Graph

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