What is the solution for (dy)/(dx)+3x^2y=10x^2 ?

The solution for (dy)/(dx)+3x^2y=10x^2 is y=(e^{-x^3+c_{1}})/3+10/3

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(dy)/(dx)+3x^2y=10x^2

\frac{d y}{d x} + 3 x^{2} y = 10 x^{2}

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{10}{3}

Solution steps

\frac{d y}{d x} + 3 x^{2} y = 10 x^{2}

Solve separable ODE:

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{10}{3}

y = \frac{e ^{- x^{3} + c_{1}}}{3} + \frac{10}{3}

x y + y^{^{'}} = 4 x

x \to + 1 + lim (1 - cos (2 (x - 1)))

\frac{\partial}{\partial x} (\frac{x}{y ^{2}})

\frac{tan ( x )}{cos ( x )}

\int (tan (x) + 1)^{2} d x

What is the solution for (dy)/(dx)+3x^2y=10x^2 ?
The solution for (dy)/(dx)+3x^2y=10x^2 is y=(e^{-x^3+c_{1}})/3+10/3