2.1769   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 = 0.168227 (sec), leaf count = 18

\[\left \{\left \{y(x)\to c_2 \left (\sqrt {x}+c_1\right ){}^2\right \}\right \}\] Maple : cpu = 1.314 (sec), leaf count = 21

\[\left \{y \left (x \right ) = c_{1}^{2} x +c_{1} c_{2} \sqrt {x}+\frac {c_{2}^{2}}{4}\right \}\]