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

The solution for y^3-(6x+6)+3xy^2(dy)/(dx)=0 is y=\sqrt[3]{6(x/2+1)+(c_{1})/x}

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

y^{3} - (6 x + 6) + 3 x y^{2} \frac{d y}{d x} = 0

Solution steps

y^{3} - (6 x + 6) + 3 x y^{2} \frac{d y}{d x} = 0

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What is the solution for y^3-(6x+6)+3xy^2(dy)/(dx)=0 ?
The solution for y^3-(6x+6)+3xy^2(dy)/(dx)=0 is y=\sqrt[3]{6(x/2+1)+(c_{1})/x}