What is the solution for (dy)/(dx)=xy(y-1) ?

The solution for (dy)/(dx)=xy(y-1) is y= 1/(1-e^{\frac{x^2){2}+c_{1}}}

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

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

y = \frac{1}{1 - e ^{\frac{x ^{2}}{2} + c_{1}}}

Solution steps

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

Solve separable ODE:

y = \frac{1}{1 - e ^{\frac{x ^{2}}{2} + c_{1}}}

y = \frac{1}{1 - e ^{\frac{x ^{2}}{2} + c_{1}}}

5 sin^{2} (x)

y = (6 x - 5)^{2} (3 - x^{5})^{2}

x \to - 1 lim (x^{3} + 1)

\frac{d}{d x} (e^{2 x} \cdot cos (3 x))

x \to 0 lim (\frac{1 - cos ( 8 x )}{4 x ^{2}})

What is the solution for (dy)/(dx)=xy(y-1) ?
The solution for (dy)/(dx)=xy(y-1) is y= 1/(1-e^{\frac{x^2){2}+c_{1}}}