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 = 0.124331 (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 = 0.072 (sec), leaf count = 27

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