de

English

Español

Português

Français

Deutsch

Italiano

Русский

中文(简体)

한국어

日本語

Tiếng Việt

עברית

العربية

Beliebt Rechnen >

(dr)/(ds)=e^{r-2s},r(0)=0

Lösung

\frac{d r}{d s} = e^{r - 2 s}, r (0) = 0

Lösung

r = - ln (\frac{1}{2} e^{- 2 s} + \frac{1}{2})

Schritte zur Lösung

\frac{d r}{d s} = e^{r - 2 s}

Solve separable ODE:

r = - ln (\frac{1}{2} e^{- 2 s} + \frac{1}{2})

r = - ln (\frac{1}{2} e^{- 2 s} + \frac{1}{2})

Graph

Beliebte Beispiele

y^'=((xy)^2)/8+y^2

y^{^{'}} = \frac{( x y ) ^{2}}{8} + y^{2}

(dx)/(dt)=75-x/(100)

\frac{d x}{d t} = 75 - \frac{x}{100}

(dy)/(dx)-(2x)/(sqrt(y))=0

\frac{d y}{d x} - \frac{2 x}{y} = 0

xy^3dx+(1-x)dy=0

x y^{3} d x + (1 - x) d y = 0

(dV)/(dt)=-0.4V

\frac{d V}{d t} = - 0.4 V