(dV)/(dt)=1-0.4V

Lösung

\frac{d V}{d t} = 1 - 0.4 V

V = - \frac{5 e ^{\frac{- 2 t - c _{1}}{5}}}{2} + \frac{5}{2}

Schritte zur Lösung

\frac{d V}{d t} = 1 - 0.4 V

Solve separable ODE:

V = - \frac{5 e ^{\frac{- 2 t - c _{1}}{5}}}{2} + \frac{5}{2}

V = - \frac{5 e ^{\frac{- 2 t - c _{1}}{5}}}{2} + \frac{5}{2}

2 x y^{^{'}} + y = 1

y^{^{'}} = \frac{3 y ^{2}}{2 x}

1 - y^{2} d x = (1 + x^{2}) y d y

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

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