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

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

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

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

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

Solution steps

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

Solve Bernoulli ODE:

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

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

n = 0 \sum \infty \frac{1}{2 ^{2 n}}

\int \frac{1}{6} e^{6 x} d x

x \to 3 lim (x^{2} - 3 x - 10)

\int \frac{x ^{2} - 16 x + 9}{x ^{4} + 10 x ^{2} + 9} d x

y = \frac{3}{2} x

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