2.1671   ODE No. 1671

\[ 2 x y''(x)+y'(x)^3+y'(x)=0 \] Mathematica : cpu = 0.109059 (sec), leaf count = 59


\[\left \{\left \{y(x)\to c_2-2 i e^{c_1} \sqrt {-x+e^{2 c_1}}\right \},\left \{y(x)\to 2 i e^{c_1} \sqrt {-x+e^{2 c_1}}+c_2\right \}\right \}\] Maple : cpu = 0.895 (sec), leaf count = 35


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