\[ x^{n-1} y'(x)^n-n x y'(x)+y(x)=0 \] ✓ Mathematica : cpu = 0.130237 (sec), leaf count = 44
\[\text {Solve}\left [\left \{\text {K$\$$5137364} n x=\text {K$\$$5137364}^n x^{n-1}+y(x),x=c_1 (\text {K$\$$5137364}-\text {K$\$$5137364} n)^{\frac {n}{1-n}}\right \},\{y(x),\text {K$\$$5137364}\}\right ]\]
✓ Maple : cpu = 0.418 (sec), leaf count = 32
\[ \left \{ y \left ( x \right ) ={\frac {1}{{\it \_C1}} \left ( {{\it \_C1}}^{2}\sqrt [n]{{\frac {x}{{\it \_C1}}}}n- \left ( {{\it \_C1}}^{-1} \right ) ^{-n} \right ) } \right \} \]