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

Lösung

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

y^{^{'}} = \frac{3 t ^{2} y}{y + 1}

\frac{d y}{d x} y^{2} - x^{3} = 28

\frac{d}{d x} (x y^{4}) = 5

P^{^{'}} = 0.2 P + 100

\frac{d y}{d x} + 6 x^{5} y = 0