(dv)/(dt)=4-6v

Lösung

\frac{d v}{d t} = 4 - 6 v

v = - \frac{e ^{- 6 t - c_{1}}}{3} + \frac{2}{3}

Schritte zur Lösung

\frac{d v}{d t} = 4 - 6 v

Solve separable ODE:

v = - \frac{e ^{- 6 t - c_{1}}}{3} + \frac{2}{3}

v = - \frac{e ^{- 6 t - c_{1}}}{3} + \frac{2}{3}

\frac{d y}{d x} = \frac{2 x + sec ^{2} ( x )}{2 y}, y (0) = - 5

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

x y + x y^{^{'}} = x

\frac{d x}{d t} = t x^{2}

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