2.475   ODE No. 475

\[ 4 y(x) y'(x)^2+2 x y'(x)-y(x)=0 \] Mathematica : cpu = 0.10912 (sec), leaf count = 57


\[\left \{\left \{y(x)\to -\frac {1}{2} e^{2 c_1} \sqrt {-2 x+e^{4 c_1}}\right \},\left \{y(x)\to \frac {1}{2} e^{2 c_1} \sqrt {-2 x+e^{4 c_1}}\right \}\right \}\] Maple : cpu = 0.892 (sec), leaf count = 67


\[y \relax (x ) = -\frac {i x}{2}\]