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 = 0.050507 (sec), leaf count = 27

\[\{\{y(x)\to x \sinh (-\log (x)+c_1)\},\{y(x)\to x \sinh (\log (x)+c_1)\}\}\] Maple : cpu = 0.046 (sec), leaf count = 32

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