ODE No. 1769

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

\[ 2 x y(x) y''(x)-x y'(x)^2+y(x) y'(x)=0 \] Mathematica : cpu = 0.0469519 (sec), leaf count = 18

\[\left \{\left \{y(x)\to c_2 \left (c_1+\sqrt {x}\right ){}^2\right \}\right \}\] Maple : cpu = 0.05 (sec), leaf count = 21

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