y^'=3y(1-y/6)

Lösung

y^{^{'}} = 3 y (1 - \frac{y}{6})

y = - \frac{6 e ^{3 t + c_{1}}}{1 - e ^{3 t + c_{1}}}

Schritte zur Lösung

y^{'} (t) = 3 y (1 - \frac{y}{6})

Solve separable ODE:

y = - \frac{6 e ^{3 t + c_{1}}}{1 - e ^{3 t + c_{1}}}

y = - \frac{6 e ^{3 t + c_{1}}}{1 - e ^{3 t + c_{1}}}

3 y + y^{^{'}} = 0

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

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

\frac{d y}{d x} = (3 x - 2)^{3} e^{2 y}, y = 0, x = 1

\frac{d y}{d t} y = \frac{1}{2 81} \cdot 9