What is the solution for (dy)/(dx)-4y=2xy^2 ?

The solution for (dy)/(dx)-4y=2xy^2 is y=(8e^{4x})/(-4e^{4x)x+e^{4x}+c_{1}}

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(dy)/(dx)-4y=2xy^2

\frac{d y}{d x} - 4 y = 2 x y^{2}

y = \frac{8 e ^{4 x}}{- 4 e ^{4 x} x + e ^{4 x} + c _{1}}

Solution steps

\frac{d y}{d x} - 4 y = 2 x y^{2}

Solve Bernoulli ODE:

y = \frac{8 e ^{4 x}}{- 4 e ^{4 x} x + e ^{4 x} + c _{1}}

y = \frac{8 e ^{4 x}}{- 4 e ^{4 x} x + e ^{4 x} + c _{1}}

What is the solution for (dy)/(dx)-4y=2xy^2 ?
The solution for (dy)/(dx)-4y=2xy^2 is y=(8e^{4x})/(-4e^{4x)x+e^{4x}+c_{1}}