2.163   ODE No. 163

\[ 2 a^2 x+2 x^2 y'(x)-2 y(x)^2-x y(x)=0 \] Mathematica : cpu = 0.110642 (sec), leaf count = 43


\[\left \{\left \{y(x)\to -\sqrt {-a^2} \sqrt {x} \tan \left (\frac {2 \sqrt {-a^2}}{\sqrt {x}}-c_1\right )\right \}\right \}\] Maple : cpu = 0.063 (sec), leaf count = 27


\[y \relax (x ) = -i \tan \left (\frac {2 i a -\sqrt {x}\, c_{1}}{\sqrt {x}}\right ) \sqrt {x}\, a\]