(dx)/(dt)=k(a-x)

Lösung

\frac{d x}{d t} = k (a - x)

x = - e^{- k t - c_{1}} + a

Schritte zur Lösung

\frac{d x}{d t} = k (a - x)

Solve separable ODE:

x = - e^{- k t - c_{1}} + a

x = - e^{- k t - c_{1}} + a

y^{^{'}} = \frac{tan ( y )}{x}

(x^{2} + 1) \cdot \frac{d y}{d x} = 6 x - 3 x y

y^{^{'}} = 5 - \frac{y}{200}

\frac{d x}{d t} = - x + 2

(x^{2} - 9) \frac{d y}{d x} + x y = 0, x^{2} - 9 > 0