(dx)/(dt)=7-x

Lösung

\frac{d x}{d t} = 7 - x

x = - e^{- t - c_{1}} + 7

Schritte zur Lösung

\frac{d x}{d t} = 7 - x

Solve separable ODE:

x = - e^{- t - c_{1}} + 7

x = - e^{- t - c_{1}} + 7

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

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 )}