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

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

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(dy)/(dx)-xy^2=2yx

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

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