What is the solution for y^2*((dy)/(dx))+y^3=1 ?

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

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y^2*((dy)/(dx))+y^3=1

y^{2} \cdot (\frac{d y}{d x}) + y^{3} = 1

Solution steps

y^{2} \cdot (\frac{d y}{d x}) + y^{3} = 1

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