What is the solution for (dy)/(dx)+3x^2y=x^2 ?

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

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(dy)/(dx)+3x^2y=x^2

\frac{d y}{d x} + 3 x^{2} y = x^{2}

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{1}{3}

Solution steps

\frac{d y}{d x} + 3 x^{2} y = x^{2}

Solve separable ODE:

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{1}{3}

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{1}{3}

\frac{d y}{d x} = 10 x e^{5 y}

f (x) = \frac{2}{x}

\frac{d}{d x} (sin^{3} (4 x^{2} - 1))

x \to \frac{π}{2} lim (ln (sin (x)))

\frac{2}{x}, 8 x, \frac{1}{2} x

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