What is the solution for (dy}{dx}=\frac{(y^2-y))/x ?

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

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(dy}{dx}=\frac{(y^2-y))/x

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

y = \frac{1}{1 - c _{1} x}

Solution steps

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

Solve separable ODE:

y = \frac{1}{1 - c _{1} x}

y = \frac{1}{1 - c _{1} x}

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