2.392   ODE No. 392

\[ y(x)^2 \log (a y(x))-x y(x) y'(x)+y'(x)^2=0 \] Mathematica : cpu = 0.202929 (sec), leaf count = 27


\[\left \{\left \{y(x)\to \frac {e^{\frac {c_1 x}{2}-\frac {c_1{}^2}{4}}}{a}\right \}\right \}\] Maple : cpu = 0.662 (sec), leaf count = 50


\[y \relax (x ) = \frac {{\mathrm e}^{\frac {x^{2}}{4}}}{a}\]