2.1769   ODE No. 1769

\[ 2 x y(x) y''(x)-x y'(x)^2+y(x) y'(x)=0 \] Mathematica : cpu = 0.149939 (sec), leaf count = 18


\[\left \{\left \{y(x)\to c_2 \left (\sqrt {x}+c_1\right ){}^2\right \}\right \}\] Maple : cpu = 0.989 (sec), leaf count = 21


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