(dx)/(dt)=80-x/(100)

Lösung

\frac{d x}{d t} = 80 - \frac{x}{100}

x = - e^{\frac{- t - c _{1}}{100}} + 8000

Schritte zur Lösung

\frac{d x}{d t} = 80 - \frac{x}{100}

Solve separable ODE:

x = - e^{\frac{- t - c _{1}}{100}} + 8000

x = - e^{\frac{- t - c _{1}}{100}} + 8000

y^{^{'}} = x y^{2} - x, y (1) = 2

(y + 1) d x + (4 x + 2)^{2} d y = 0

y^{^{'}} = \frac{1 + 2 y ^{2}}{y sin ( x )}

y^{^{'}} + 7 y + 5 x = 5 x

y d x + 2 x d y = 0