(dV)/(dt)=50-5/100 V

Lösung

\frac{d V}{d t} = 50 - \frac{5}{100} V

V = - e^{\frac{- t - c _{1}}{20}} + 1000

Schritte zur Lösung

\frac{d V}{d t} = 50 - \frac{5}{100} V

Solve separable ODE:

V = - e^{\frac{- t - c _{1}}{20}} + 1000

V = - e^{\frac{- t - c _{1}}{20}} + 1000

e^{y} \cdot y^{^{'}} = t + t^{3}

\frac{( x ^{2} - 9 ) d y}{d x} + x y = 0

\frac{d y}{d x} = 3 y (1 + y)

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

\frac{d v}{d t} = 1 - 7 v