(dV)/(dt)=50-7/100 V

Lösung

\frac{d V}{d t} = 50 - \frac{7}{100} V

V = - \frac{e ^{\frac{- 7 t - c _{1}}{100}}}{7} + \frac{5000}{7}

Schritte zur Lösung

\frac{d V}{d t} = 50 - \frac{7}{100} V

Solve separable ODE:

V = - \frac{e ^{\frac{- 7 t - c _{1}}{100}}}{7} + \frac{5000}{7}

V = - \frac{e ^{\frac{- 7 t - c _{1}}{100}}}{7} + \frac{5000}{7}

y^{^{'}} = e^{2 y - x}, y (0) = 0

(y - 1) y^{^{'}} = 1

\frac{d N}{d t} = 0.005 N

\frac{d y}{d x} = y^{2} x cos (x^{2})

y^{^{'}} = \frac{e ^{y}}{( x ^{2} - 1 )}