What is the solution for (dy)/(dx)+x*y=x*y^2 ?

The solution for (dy)/(dx)+x*y=x*y^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 \cdot y = x \cdot y^{2}

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

Solution steps

\frac{d y}{d x} + x \cdot y = x \cdot 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}}}

y^{^{'}} = 0.1044 \cdot y, y (0) = 100000

\frac{d y}{d x} = \frac{8 y}{9 x}

y^{^{'}} = (1 + cos (x)) y, y (0) = 1

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

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