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

The solution for (dy)/(dx)+y=2xy^2ex is y= 1/(2ex^2+4ex+4e+c_{1)e^x}

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

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

y = \frac{1}{2 e x ^{2} + 4 e x + 4 e + c _{1} e ^{x}}

Solution steps

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

Solve Bernoulli ODE:

y = \frac{1}{2 e x ^{2} + 4 e x + 4 e + c _{1} e ^{x}}

y = \frac{1}{2 e x ^{2} + 4 e x + 4 e + c _{1} e ^{x}}

What is the solution for (dy)/(dx)+y=2xy^2ex ?
The solution for (dy)/(dx)+y=2xy^2ex is y= 1/(2ex^2+4ex+4e+c_{1)e^x}