What is the solution for (dy)/(dx)+3x^2*y=6x^2 ?

The solution for (dy)/(dx)+3x^2*y=6x^2 is y=e^{-x^3+c_{1}}+2

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(dy)/(dx)+3x^2*y=6x^2

\frac{d y}{d x} + 3 x^{2} \cdot y = 6 x^{2}

y = e^{- x^{3} + c_{1}} + 2

Solution steps

\frac{d y}{d x} + 3 x^{2} \cdot y = 6 x^{2}

Solve separable ODE:

y = e^{- x^{3} + c_{1}} + 2

y = e^{- x^{3} + c_{1}} + 2

\frac{\partial}{\partial y} (arctan (x y))

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

y = x^{2} sin^{4} (x) + x cos^{- 2} (x)

\int cos (x) tan^{2} (x) d x

y^{^{'}} = - 2 y, y (0) = 2

What is the solution for (dy)/(dx)+3x^2*y=6x^2 ?
The solution for (dy)/(dx)+3x^2*y=6x^2 is y=e^{-x^3+c_{1}}+2