(dx)/(dt)=100-x/(100),x=4000,t=0

Lösung

\frac{d x}{d t} = 100 - \frac{x}{100}, x = 4000, t = 0

x = - 6000 e^{- \frac{t}{100}} + 10000

Schritte zur Lösung

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

Solve separable ODE:

x = - 6000 e^{- \frac{t}{100}} + 10000

x = - 6000 e^{- \frac{t}{100}} + 10000

(6 + x) y^{^{'}} = (x + 7) (y - 6)

y \cdot y^{^{'}} + 2 x - 1 = 0

y^{^{'}} = x y + x - 2 y - 2, y (0) = 1

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

(x^{2} + 4) d y + (8 x y - 2 x) d x = 0