(dv)/(dt)=9.81-3v

Lösung

\frac{d v}{d t} = 9.81 - 3 v

v = - 0.33333 \dots e^{- 3 t - c_{1}} + 3.27

Schritte zur Lösung

\frac{d v}{d t} = 9.81 - 3 v

Solve separable ODE:

v = - 0.33333 \dots e^{- 3 t - c_{1}} + 3.27

v = - 0.33333 \dots e^{- 3 t - c_{1}} + 3.27

y^{^{'}} = x y^{2} sin (x^{2})

\frac{d v}{d t} = 2 - 4 v

\frac{d r}{d s} = e^{r + s}

\frac{d y}{d x} x = y^{2}

(x + 8 x y^{4}) d x + e^{x^{2}} y^{3} d y = 0