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

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

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

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

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

Solution steps

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

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}}}

\frac{d}{d x} (- cos (cos (x)) sin (x))

\int x^{3} sin^{2} (x) d x

\int_{\frac{π}{4}}^{\frac{π}{3}} 1

\frac{\partial}{\partial x} (2 x y + x^{2} + 3 y^{2})

x y^{^{'}} + y = e^{x}, y (- 1) = 4

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