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

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

$(2)\;y^3=3x^3 \log (Cx)$
answered Nov 7, 2013 by