dt=(200dm)/(1600-3m)

Lösung

d t = \frac{200 d m}{1600 - 3 m}

m = - \frac{e ^{\frac{- 3 t - c _{1}}{200}}}{3} + \frac{1600}{3}

Schritte zur Lösung

d t = \frac{200 d m}{1600 - 3 m}

Solve separable ODE:

m = - \frac{e ^{\frac{- 3 t - c _{1}}{200}}}{3} + \frac{1600}{3}

m = - \frac{e ^{\frac{- 3 t - c _{1}}{200}}}{3} + \frac{1600}{3}

\frac{d V}{d t} = 20 - \frac{5}{100} V

\frac{d y}{d x} = - \frac{6}{7} x^{7} y^{9}

\frac{x d y}{d x} - y - 1 = 0

(x + 1) y^{^{'}} - y = 0

\frac{d V}{d t} = 0.5 (50 - V), V < 50