(dy)/(dx)=y(1-y)

Lösung

\frac{d y}{d x} = y (1 - y)

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

Schritte zur Lösung

\frac{d y}{d x} = y (1 - y)

Solve separable ODE:

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

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

x \to 4 lim (5 x^{2} - 2 x + 3)

x \to 7 lim (\frac{( x ^{2} - 2 x - 35 )}{x - 7})

x \to 0 lim (\frac{1 ^{x} - 9 ^{x}}{x})

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

\int \frac{10}{1 - x ^{2}} d x