(dv)/(dt)=g-kv(t),v(0)=0

Lösung

\frac{d v}{d t} = g - k v, v (0) = 0

v = - \frac{g e ^{- k t}}{k} + \frac{g}{k}

Schritte zur Lösung

\frac{d v}{d t} = g - k v

Solve separable ODE:

v = - \frac{g e ^{- k t}}{k} + \frac{g}{k}

v = - \frac{g e ^{- k t}}{k} + \frac{g}{k}

y^{^{'}} - 0.06 y = 100

y^{^{'}} = 6 x^{2} y^{2}

\frac{d y}{d x} + y sec (x) = sec (x)

(1 + 2 y) d x + (4 + x^{2}) d y = 0

2 (y - 1) y^{^{'}} - 3 t^{2} - 34 t = 2