(dv)/(dt)=-0.4*v

Lösung

\frac{d v}{d t} = - 0.4 \cdot v

v = e^{- 0.4 t + c_{1}}

Schritte zur Lösung

\frac{d v}{d t} = - 0.4 \cdot v

Solve separable ODE:

v = e^{- 0.4 t + c_{1}}

v = e^{- 0.4 t + c_{1}}

\frac{d y}{d t} = \frac{2 t}{y + y t ^{2}}

y^{^{'}} = x^{3} e^{- y}

y^{^{'}} = y^{2} + 4

\frac{d x}{d t} = r (1 - \frac{x}{k}) x

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