(dv)/(dt)=\sqrt[3]{2/9}v

Lösung

\frac{d v}{d t} = 3 \frac{2}{9} v

v = e^{3 \frac{2}{9} t + c_{1}}

Schritte zur Lösung

\frac{d v}{d t} = 3 \frac{2}{9} v

Solve separable ODE:

v = e^{3 \frac{2}{9} t + c_{1}}

v = e^{3 \frac{2}{9} t + c_{1}}

a x^{^{'}} + x = 0

111 - 0.5 y = 55 y^{^{'}}

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

y^{^{'}} \cdot ln (y) = y

x = \frac{y}{y ^{^{'}} + y}