What is the solution for (dy)/(dx)+4xy=8x^3 ?

The solution for (dy)/(dx)+4xy=8x^3 is y=2x^2-1+(c_{1})/(e^{2x^2)}

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(dy)/(dx)+4xy=8x^3

\frac{d y}{d x} + 4 x y = 8 x^{3}

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

Solution steps

\frac{d y}{d x} + 4 x y = 8 x^{3}

Solve linear ODE:

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

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

\frac{d}{d x} (\frac{cos ( x )}{5})

x \to \infty lim (\frac{2 x}{1})

\int \frac{2 x + 3}{x ( x ^{2} - 4 ) ^{2}} d x

\frac{d y}{d t} (t) + 2 y = 3 e^{- t}

\frac{\partial}{\partial x} (cos (2 x + y))

What is the solution for (dy)/(dx)+4xy=8x^3 ?
The solution for (dy)/(dx)+4xy=8x^3 is y=2x^2-1+(c_{1})/(e^{2x^2)}