2.1759   ODE No. 1759

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

\[ x y(x) y''(x)+x y'(x)^2-y(x) y'(x)=0 \] Mathematica : cpu = 0.161166 (sec), leaf count = 18

\[\left \{\left \{y(x)\to c_2 \sqrt {x^2+c_1}\right \}\right \}\] Maple : cpu = 1.181 (sec), leaf count = 31

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