What is the solution for 3(1+t^2)((dy)/(dt))=2ty(y^3-1) ?

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

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3(1+t^2)((dy)/(dt))=2ty(y^3-1)

3 (1 + t^{2}) (\frac{d y}{d t}) = 2 t y (y^{3} - 1)

Solution steps

3 (1 + t^{2}) (\frac{d y}{d t}) = 2 t y (y^{3} - 1)

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