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Beliebt Rechnen >

(1+e^x)y(dy)/(dx)=e^x

Lösung

(1 + e^{x}) y \frac{d y}{d x} = e^{x}

Lösung

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

Schritte zur Lösung

(1 + e^{x}) y \frac{d y}{d x} = e^{x}

Solve separable ODE:

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

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

Graph

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