2.1759   ODE No. 1759

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

\[ x y'(x)^2-y(x) y'(x)+x y(x) y''(x)=0 \] Mathematica : cpu = 0.122316 (sec), leaf count = 18

\[\left \{\left \{y(x)\to c_2 \sqrt {x^2+c_1}\right \}\right \}\] Maple : cpu = 0.095 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) =\sqrt {{\it \_C1}\,{x}^{2}+2\,{\it \_C2}},y \left ( x \right ) =-\sqrt {{\it \_C1}\,{x}^{2}+2\,{\it \_C2}} \right \} \]