What is the solution for (y^3-t^3)dt-ty^2dy=0,y(1)=3 ?

The solution for (y^3-t^3)dt-ty^2dy=0,y(1)=3 is y=t\sqrt[3]{-3ln(t)+c_{1}}

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(y^3-t^3)dt-ty^2dy=0,y(1)=3

(y^{3} - t^{3}) d t - t y^{2} d y = 0, y (1) = 3

Solution steps

(y^{3} - t^{3}) d t - t y^{2} d y = 0

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What is the solution for (y^3-t^3)dt-ty^2dy=0,y(1)=3 ?
The solution for (y^3-t^3)dt-ty^2dy=0,y(1)=3 is y=t\sqrt[3]{-3ln(t)+c_{1}}