(dy)/(dt)=k(a-y)

Lösung

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

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

Schritte zur Lösung

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

Solve separable ODE:

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

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

\frac{d y}{d x} + e^{(x + y)} = 0

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

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

\frac{d y}{d t} = \frac{7 t ^{2}}{8 y}

\frac{d V}{d x} = - 0.4 V