(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}

\frac{d y}{d x} + 9 x y = 4 x, y (0) = 2

5 x y y^{^{'}} = 4

\frac{d y}{d x} = y^{2} + 4 y + 10

y^{^{'}} - 20 x y = 0

\frac{d y}{d x} = x y + 3 x - y - 3