(dy)/(dt)=b(1-y)y

Lösung

\frac{d y}{d t} = b (1 - y) y

y = - \frac{e ^{b t + c_{1}}}{1 - e ^{b t + c_{1}}}

Schritte zur Lösung

\frac{d y}{d t} = b (1 - y) y

Solve separable ODE:

y = - \frac{e ^{b t + c_{1}}}{1 - e ^{b t + c_{1}}}

y = - \frac{e ^{b t + c_{1}}}{1 - e ^{b t + c_{1}}}

x \to - 9 + lim (3 x^{2} - 4 x - 7)

\int sin (θ) (cot (θ) + csc (θ)) d θ

\frac{\partial}{\partial x} (6 x + 6 y^{2})

\frac{d}{d x} (x f (x))

(\frac{d y}{d x}) = y + 2 x + 5 - 2