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# The solution of the differential equation $xy^2 dy-(x^3+y^3)dx=0$ is

$\begin {array} {1 1} (1)\;y^3=3x^3+C & \quad (2)\;y^3=3x^3 \log (Cx) \\ (3)\;y^3=3x^3+ \log (Cx) & \quad (4)\;y^3+3x^3= \log (Cx) \end {array}$

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$(2)\;y^3=3x^3 \log (Cx)$