2.464   ODE No. 464

\[ y(x) y'(x)^2+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 0.0979504 (sec), leaf count = 52


\[\left \{\left \{y(x)\to -e^{\frac {c_1}{2}} \sqrt {-2 x+e^{c_1}}\right \},\left \{y(x)\to e^{\frac {c_1}{2}} \sqrt {-2 x+e^{c_1}}\right \}\right \}\] Maple : cpu = 0.871 (sec), leaf count = 70


\[y \relax (x ) = -i x\]