(dx)/(dt)=18-0.72*x

Lösung

\frac{d x}{d t} = 18 - 0.72 \cdot x

x = - \frac{e ^{- 0.72 t - c_{1}}}{0.72} + \frac{18}{0.72}

Schritte zur Lösung

\frac{d x}{d t} = 18 - 0.72 \cdot x

Solve separable ODE:

x = - \frac{e ^{- 0.72 t - c_{1}}}{0.72} + \frac{18}{0.72}

x = - \frac{e ^{- 0.72 t - c_{1}}}{0.72} + \frac{18}{0.72}

y^{^{'}} = - \frac{y}{2} + 4

\frac{d y}{d t} y = (4 t - 1) (3 t - 6)^{- 1}

t y^{^{'}} 2 y = t^{2} - t^{1}

y^{^{'}} - \frac{y}{( ln ( y ) ) ^{2}} = 0, y (0) = 1

\frac{d y}{d x} = y^{2} - 9 y + 20