(dv)/(dt)=2-4v

Lösung

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

v = - \frac{e ^{- 4 t - c_{1}}}{2} + \frac{1}{2}

Schritte zur Lösung

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

Solve separable ODE:

v = - \frac{e ^{- 4 t - c_{1}}}{2} + \frac{1}{2}

v = - \frac{e ^{- 4 t - c_{1}}}{2} + \frac{1}{2}

\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

\frac{d y}{d x} = y^{- \frac{3}{2}}

y^{^{'}} = x^{2} y^{2} 2^{x}