(dv)/(dt)=1-3v

Lösung

\frac{d v}{d t} = 1 - 3 v

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

Schritte zur Lösung

\frac{d v}{d t} = 1 - 3 v

Solve separable ODE:

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

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

\frac{d y}{d x} = \frac{( 15 x ^{2} - 6 x + 2 )}{( ( y + 2 ) )}

y^{^{'}} = 1 + 2 y

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

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

e^{x} cos (y) d x - e^{x} sin (y) d y = 0