What is the solution for (dy)/(dx)-1/x y=xy^2 ?

The solution for (dy)/(dx)-1/x y=xy^2 is y=(3x)/(-x^3+c_{1)}

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(dy)/(dx)-1/x y=xy^2

\frac{d y}{d x} - \frac{1}{x} y = x y^{2}

y = \frac{3 x}{- x ^{3} + c _{1}}

Solution steps

\frac{d y}{d x} - \frac{1}{x} y = x y^{2}

Solve Bernoulli ODE:

y = \frac{3 x}{- x ^{3} + c _{1}}

y = \frac{3 x}{- x ^{3} + c _{1}}

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What is the solution for (dy)/(dx)-1/x y=xy^2 ?
The solution for (dy)/(dx)-1/x y=xy^2 is y=(3x)/(-x^3+c_{1)}