(dv)/(dt)=9.56-0.1v

Lösung

\frac{d v}{d t} = 9.56 - 0.1 v

v = - 10 e^{\frac{- t - c _{1}}{10}} + \frac{478}{5}

Schritte zur Lösung

\frac{d v}{d t} = 9.56 - 0.1 v

Solve separable ODE:

v = - 10 e^{\frac{- t - c _{1}}{10}} + \frac{478}{5}

v = - 10 e^{\frac{- t - c _{1}}{10}} + \frac{478}{5}

y^{^{'}} = \frac{y}{x ^{2} - 4}

d y y^{- 2} = \frac{d x}{- x ^{2} + 144}

y = y^{^{'}} x

\frac{d y}{d x} = x^{5} (y - 5), y (0) = 8

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