(dy)/(dt)=550-0.0055y

Lösung

\frac{d y}{d t} = 550 - 0.0055 y

y = - \frac{e ^{- 0.0055 t - c_{1}}}{0.0055} + \frac{550}{0.0055}

Schritte zur Lösung

\frac{d y}{d t} = 550 - 0.0055 y

Solve separable ODE:

y = - \frac{e ^{- 0.0055 t - c_{1}}}{0.0055} + \frac{550}{0.0055}

y = - \frac{e ^{- 0.0055 t - c_{1}}}{0.0055} + \frac{550}{0.0055}

e^{x} y^{^{'}} = e^{- y} + e^{- 2 x - y}

\frac{y ^{^{'}}}{e ^{t}} = y^{2} - 5 y + 6

y^{(4)} - 8 y^{^{'}} = 0

y^{^{'}} = \frac{1}{sin ( y )}

\frac{d x}{d t} = 8 x t^{4}