(dx)/(dt)=12-(36x)/(100)

Lösung

\frac{d x}{d t} = 12 - \frac{36 x}{100}

x = - \frac{e ^{\frac{- 9 t - c _{1}}{25}}}{9} + \frac{100}{3}

Schritte zur Lösung

\frac{d x}{d t} = 12 - \frac{36 x}{100}

Solve separable ODE:

x = - \frac{e ^{\frac{- 9 t - c _{1}}{25}}}{9} + \frac{100}{3}

x = - \frac{e ^{\frac{- 9 t - c _{1}}{25}}}{9} + \frac{100}{3}

\frac{d y}{d t} = - \frac{1}{50} (y - 17)

\frac{d}{d t} (45440 x) = - 28920 x

\frac{d y}{d x} = - \frac{3}{8} x^{3} y^{7}

\frac{d y}{d x} = - x^{2} y

y^{^{'}} + 3 x^{2} \cdot y = x^{2}