\[ -a y(x)^n-b x^{\frac {n}{1-n}}+y'(x)=0 \] ✓ Mathematica : cpu = 0.221024 (sec), leaf count = 117
\[\text {Solve}\left [\int _1^{\left (\frac {a x^{-\frac {n}{1-n}}}{b}\right )^{\frac {1}{n}} y(x)}\frac {1}{K[1]^n-\left (\frac {(-1)^n b^{1-n} (n-1)^{-n}}{a}\right )^{\frac {1}{n}} K[1]+1}dK[1]=\int _1^xb K[2]^{\frac {n}{1-n}} \left (\frac {a K[2]^{-\frac {n}{1-n}}}{b}\right )^{\frac {1}{n}}dK[2]+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.326 (sec), leaf count = 61
\[ \left \{ -\int _{{\it \_b}}^{y \left ( x \right ) }\!{{x}^{{\frac {n}{n-1}}} \left ( \left ( ax \left ( n-1 \right ) {{\it \_a}}^{n}+{\it \_a} \right ) {x}^{{\frac {n}{n-1}}}+bx \left ( n-1 \right ) \right ) ^{-1}}\,{\rm d}{\it \_a} \left ( n-1 \right ) +\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]