(dv)/(dt)=4-7v

Lösung

\frac{d v}{d t} = 4 - 7 v

v = - \frac{e ^{- 7 t - c_{1}}}{7} + \frac{4}{7}

Schritte zur Lösung

\frac{d v}{d t} = 4 - 7 v

Solve separable ODE:

v = - \frac{e ^{- 7 t - c_{1}}}{7} + \frac{4}{7}

v = - \frac{e ^{- 7 t - c_{1}}}{7} + \frac{4}{7}

e^{x} \frac{d y}{d x} + y^{3} = x y^{3}, y = 1, x = 0

\frac{d y}{d x} = y (2 x - 3)

y^{^{'}} = e^{4 x - 5 y}

y^{^{'}} = \frac{6 e ^{2 x}}{e ^{y}}

y^{^{'}} = \frac{1 + x}{y}, y (0) = 5