What is the solution for (3y^2+2x)dx+(6xy+16y^3)dy=0 ?

The solution for (3y^2+2x)dx+(6xy+16y^3)dy=0 is

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(3y^2+2x)dx+(6xy+16y^3)dy=0

(3 y^{2} + 2 x) d x + (6 x y + 16 y^{3}) d y = 0

y = \frac{- 3 x + - 7 x ^{2} + c _{1}}{2 2}, y = - \frac{- 3 x + - 7 x ^{2} + c _{1}}{2 2}, y = \frac{- 3 x - - 7 x ^{2} + c _{1}}{2 2}, y = - \frac{- 3 x - - 7 x ^{2} + c _{1}}{2 2}

Solution steps

(3 y^{2} + 2 x) d x + (6 x y + 16 y^{3}) d y = 0

Solve exact ODE:

y = \frac{- 3 x + - 7 x ^{2} + c _{1}}{2 2}, y = - \frac{- 3 x + - 7 x ^{2} + c _{1}}{2 2}, y = \frac{- 3 x - - 7 x ^{2} + c _{1}}{2 2}, y = - \frac{- 3 x - - 7 x ^{2} + c _{1}}{2 2}

y = \frac{- 3 x + - 7 x ^{2} + c _{1}}{2 2}, y = - \frac{- 3 x + - 7 x ^{2} + c _{1}}{2 2}, y = \frac{- 3 x - - 7 x ^{2} + c _{1}}{2 2}, y = - \frac{- 3 x - - 7 x ^{2} + c _{1}}{2 2}

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What is the solution for (3y^2+2x)dx+(6xy+16y^3)dy=0 ?
The solution for (3y^2+2x)dx+(6xy+16y^3)dy=0 is