\[ \boxed { {x}^{n-1} \left ( {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) \right ) ^{n}-nx{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +y \left ( x \right ) =0} \]
Mathematica: cpu = 0.075010 (sec), leaf count = 49 \[ \text {Solve}\left [\left \{y(x)=\frac {\text {K$\$$1483865} n x^2-\text {K$\$$1483865}^n x^n}{x},x=c_1 (\text {K$\$$1483865}-\text {K$\$$1483865} n)^{\frac {n}{1-n}}\right \},\{y(x),\text {K$\$$1483865}\}\right ] \]
Maple: cpu = 0.266 (sec), leaf count = 29 \[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt [n]{{\frac {x}{{\it \_C1}}}}n-{\frac { \left ( {{\it \_C1}}^{-1} \right ) ^{-n}}{{\it \_C1}} } \right \} \]