\[ \text {Global$\grave { }$a} \text {Global$\grave { }$x}^2 \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^{\text {Global$\grave { }$n}} \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})-2 \text {Global$\grave { }$x} \text {Global$\grave { }$y}'(\text {Global$\grave { }$x})+\text {Global$\grave { }$y}(\text {Global$\grave { }$x})=0 \] ✓ Mathematica : cpu = 0.0954913 (sec), leaf count = 42
\[\text {Solve}\left [\frac {\text {Global$\grave { }$n} \left (\log (\text {Global$\grave { }$x})-\log \left (-\text {Global$\grave { }$a} \text {Global$\grave { }$x} \text {Global$\grave { }$y}(\text {Global$\grave { }$x})^{\text {Global$\grave { }$n}}+\text {Global$\grave { }$n}+2\right )\right )}{\text {Global$\grave { }$n}+2}-\frac {2 \text {Global$\grave { }$n} \log (\text {Global$\grave { }$y}(\text {Global$\grave { }$x}))}{\text {Global$\grave { }$n}+2}=c_1,\text {Global$\grave { }$y}(\text {Global$\grave { }$x})\right ]\]
✓ Maple : cpu = 0.196 (sec), leaf count = 33
\[ \left \{ {\frac { \left ( \left ( y \left ( x \right ) \right ) ^{n}ax-n-2 \right ) ^{n} \left ( \left ( y \left ( x \right ) \right ) ^{n} \right ) ^{2}}{{x}^{n}}}-{\it \_C1}=0 \right \} \]