2.167   ODE No. 167

\[ 3 x^2 y'(x)-x^2-3 x y(x)-7 y(x)^2=0 \] Mathematica : cpu = 0.0927967 (sec), leaf count = 35


\[\left \{\left \{y(x)\to \frac {x \tan \left (\frac {1}{3} \left (\sqrt {7} \log (x)+3 \sqrt {7} c_1\right )\right )}{\sqrt {7}}\right \}\right \}\] Maple : cpu = 0.034 (sec), leaf count = 20


\[y \relax (x ) = \frac {\tan \left (\frac {\left (\ln \relax (x )+c_{1}\right ) \sqrt {7}}{3}\right ) x \sqrt {7}}{7}\]