2.421   ODE No. 421

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

\[ x y'(x)^2-2 y(x) y'(x)-x=0 \] Mathematica : cpu = 0.0373358 (sec), leaf count = 27

\[\{\{y(x)\to x \sinh (-\log (x)+c_1)\},\{y(x)\to x \sinh (\log (x)+c_1)\}\}\] Maple : cpu = 0.054 (sec), leaf count = 32

\[ \left \{ y \left ( x \right ) =-ix,y \left ( x \right ) =ix,y \left ( x \right ) =-{\frac {{{\it \_C1}}^{2}-{x}^{2}}{2\,{\it \_C1}}} \right \} \]