(dv)/(dt)+2v=9,v(0)=0

Lösung

\frac{d v}{d t} + 2 v = 9, v (0) = 0

v = - \frac{9 e ^{- 2 t}}{2} + \frac{9}{2}

Schritte zur Lösung

\frac{d v}{d t} + 2 v = 9

Solve separable ODE:

v = - \frac{9 e ^{- 2 t}}{2} + \frac{9}{2}

v = - \frac{9 e ^{- 2 t}}{2} + \frac{9}{2}