de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(x+e^y)y^'=xe^{-y}-1

Lösung

(x + e^{y}) y^{^{'}} = x e^{- y} - 1

Lösung

y = ln (\frac{- 2 x + 8 x ^{2} + c _{1}}{2}), y = ln (\frac{- 2 x - 8 x ^{2} + c _{1}}{2})

Schritte zur Lösung

(x + e^{y}) y^{'} (x) = x e^{- y} - 1

Solve exact ODE:

y = ln (\frac{- 2 x + 8 x ^{2} + c _{1}}{2}), y = ln (\frac{- 2 x - 8 x ^{2} + c _{1}}{2})

y = ln (\frac{- 2 x + 8 x ^{2} + c _{1}}{2}), y = ln (\frac{- 2 x - 8 x ^{2} + c _{1}}{2})

Graph

Beliebte Beispiele

derivative 2^{x-1}

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

x(dy)/(dx)+5y=x^3-x

x \frac{d y}{d x} + 5 y = x^{3} - x

fläche 7e^x,7xe^{x^2},0,1

a re a 7 e^{x}, 7 x e^{x^{2}}, 0, 1

derivative of 2x^4-5x^3+4

\frac{d}{d x} (2 x^{4} - 5 x^{3} + 4)

limit as h approaches 0 of-2x-h+3

h \to 0 lim (- 2 x - h + 3)