\[ n y(x) y''(x)+(1-n) y'(x)^2=0 \] ✓ Mathematica : cpu = 0.151869 (sec), leaf count = 17
\[\left \{\left \{y(x)\to c_2 (x-c_1 n){}^n\right \}\right \}\] ✓ Maple : cpu = 1.221 (sec), leaf count = 15
\[\left \{y \left (x \right ) = \left (\frac {c_{1} x +c_{2}}{n}\right )^{n}\right \}\]