(dv)/(dt)=2-8v

Lösung

\frac{d v}{d t} = 2 - 8 v

v = - \frac{e ^{- 8 t - c_{1}}}{4} + \frac{1}{4}

Schritte zur Lösung

\frac{d v}{d t} = 2 - 8 v

Solve separable ODE:

v = - \frac{e ^{- 8 t - c_{1}}}{4} + \frac{1}{4}

v = - \frac{e ^{- 8 t - c_{1}}}{4} + \frac{1}{4}

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

7 x y (\frac{d y}{d x}) = 3

y^{^{'}} = e^{y} 5^{x}, y (0) = ln (ln (5))

y^{^{'}} = - 10 x^{2} y

x^{3} y^{^{'}} + (5 x^{2} - 8) y = 0