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Beliebt Rechnen >

y^'=(e^y+1)/(e^y)

Lösung

y^{^{'}} = \frac{e ^{y} + 1}{e ^{y}}

Lösung

y = ln (e^{t + c_{1}} - 1)

Schritte zur Lösung

y^{'} (t) = \frac{e ^{y} + 1}{e ^{y}}

Solve separable ODE:

y = ln (e^{t + c_{1}} - 1)

y = ln (e^{t + c_{1}} - 1)

Graph

Beliebte Beispiele

limit as x approaches 3 of x^3+3x^2-x+2

x \to 3 lim (x^{3} + 3 x^{2} - x + 2)

fläche x^2-7,6x

a re a x^{2} - 7, 6 x

derivative of 3e^{1-x^2}

\frac{d}{d x} (3 e^{1 - x^{2}})

f (y) = \frac{1}{y ^{2}}

y \frac{d y}{d x} = - x