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

Lösung

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

y = - W (\frac{- ln ( 1 + e ^{x} ) + x + c _{1}}{e}) - 1

Schritte zur Lösung

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

Solve separable ODE:

y = - W (\frac{- ln ( 1 + e ^{x} ) + x + c _{1}}{e}) - 1

y = - W (\frac{- ln ( 1 + e ^{x} ) + x + c _{1}}{e}) - 1

d er i v a t i v e \frac{sec ( 9 x )}{1 + sec ( 9 x )}

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\frac{d y}{d x} = y (x y^{5} - 1)