What is the solution for (dy)/(dx)+x^2(3y-2)=0 ?

The solution for (dy)/(dx)+x^2(3y-2)=0 is y=(e^{-x^3+c_{1}})/3+2/3

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(dy)/(dx)+x^2(3y-2)=0

\frac{d y}{d x} + x^{2} (3 y - 2) = 0

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

Solution steps

\frac{d y}{d x} + x^{2} (3 y - 2) = 0

Solve separable ODE:

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

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

What is the solution for (dy)/(dx)+x^2(3y-2)=0 ?
The solution for (dy)/(dx)+x^2(3y-2)=0 is y=(e^{-x^3+c_{1}})/3+2/3