2.163   ODE No. 163

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ 2 a^2 x+2 x^2 y'(x)-2 y(x)^2-x y(x)=0 \] Mathematica : cpu = 0.0928981 (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 = 0.048 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) =-i\tan \left ( { \left ( 2\,ia-{\it \_C1}\,\sqrt {x} \right ) {\frac {1}{\sqrt {x}}}} \right ) \sqrt {x}a \right \} \]