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Beliebt Rechnen >

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

Lösung

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

Lösung

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

Graph

Beliebte Beispiele

tangent y=x^4+4x^2-x,(1,4)

t an g e n t y = x^{4} + 4 x^{2} - x, (1, 4)

tangent y= 1/3 x^3-3x^2+5x

t an g e n t y = \frac{1}{3} x^{3} - 3 x^{2} + 5 x

integral of x*\sqrt[3]{x-4}

\int x \cdot 3 x - 4 d x

derivative (x^2-1)/(x^2)

d er i v a t i v e \frac{x ^{2} - 1}{x ^{2}}

limit as x approaches 0 of ((4+x)^{-1}-4^{-1})/x

x \to 0 lim (\frac{( 4 + x ) ^{- 1} - 4 ^{- 1}}{x})