\[ x^{n-1} y'(x)^n-n x y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.0752462 (sec), leaf count = 49
\[\text {Solve}\left [\left \{y(x)=\frac {\text {K$\$$90238} n x^2-\text {K$\$$90238}^n x^n}{x},x=c_1 (\text {K$\$$90238}-\text {K$\$$90238} n)^{\frac {n}{1-n}}\right \},\{y(x),\text {K$\$$90238}\}\right ]\]
✓ Maple : cpu = 0.359 (sec), leaf count = 29
\[ \left \{ y \left ( x \right ) ={\it \_C1}\,\sqrt [n]{{\frac {x}{{\it \_C1}}}}n-{\frac { \left ( {{\it \_C1}}^{-1} \right ) ^{-n}}{{\it \_C1}}} \right \} \]