\[ \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^2 \log (\text {Global$\grave { }$a} \text {Global$\grave { }$y}(\text {Global$\grave { }$x}))-\text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x}) \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$y}'(\text {Global$\grave { }$x})^2=0 \] ✓ Mathematica : cpu = 0.242581 (sec), leaf count = 27
\[\left \{\left \{\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\to \frac {e^{\frac {c_1 \text {Global$\grave { }$x}}{2}-\frac {c_1^2}{4}}}{\text {Global$\grave { }$a}}\right \}\right \}\]
✓ Maple : cpu = 0.452 (sec), leaf count = 50
\[ \left \{ y \left ( x \right ) ={\frac {1}{a}{{\rm e}^{{\frac {{x}^{2}}{4}}}}},y \left ( x \right ) ={\frac {1}{{{\rm e}^{{{\it \_C1}}^{2}}}{{\rm e}^{{\it \_C1}\,x}}a}},y \left ( x \right ) ={\frac {{{\rm e}^{{\it \_C1}\,x}}}{{{\rm e}^{{{\it \_C1}}^{2}}}a}} \right \} \]