2.1769   ODE No. 1769

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

\[ -x y'(x)^2+y(x) y'(x)+2 x y(x) y''(x)=0 \] Mathematica : cpu = 0.133207 (sec), leaf count = 18

\[\left \{\left \{y(x)\to c_2 \left (\sqrt {x}+c_1\right ){}^2\right \}\right \}\] Maple : cpu = 0.229 (sec), leaf count = 21

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt {x}{\it \_C2}+x{{\it \_C1}}^{2}+{\frac {{{\it \_C2}}^{2}}{4}} \right \} \]