\[ n y(x) y''(x)-(n-1) y'(x)^2=0 \] ✓ Mathematica : cpu = 0.110376 (sec), leaf count = 17
\[\left \{\left \{y(x)\to c_2 (x-c_1 n){}^n\right \}\right \}\] ✓ Maple : cpu = 0.31 (sec), leaf count = 15
\[ \left \{ y \left ( x \right ) = \left ( {\frac {{\it \_C1}\,x+{\it \_C2}}{n}} \right ) ^{n} \right \} \]