(dV)/(dt)=10-(2V)/(100)

Lösung

\frac{d V}{d t} = 10 - \frac{2 V}{100}

V = - e^{\frac{- t - c _{1}}{50}} + 500

Schritte zur Lösung

\frac{d V}{d t} = 10 - \frac{2 V}{100}

Solve separable ODE:

V = - e^{\frac{- t - c _{1}}{50}} + 500

V = - e^{\frac{- t - c _{1}}{50}} + 500

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

3 y^{4} - 1 + 12 x y^{3} \frac{d y}{d x} = 0

y^{^{'}} - 10 y^{^{'}} + 25 y = 0

\frac{d y}{d x} - 0.075 y = - 9000

y^{^{'}} = e^{y + t}