\[ -a y(x)^n-b x^{(m+1) n}+x^{m (n-1)+n} y'(x)=0 \] ✓ Mathematica : cpu = 0.453605 (sec), leaf count = 91
\[\text {Solve}\left [\int _1^{\left (\frac {a x^{-((m+1) n)}}{b}\right )^{\frac {1}{n}} y(x)}\frac {1}{K[1]^n-\left (\frac {b^{1-n} (m+1)^n}{a}\right )^{\frac {1}{n}} K[1]+1}dK[1]=b x^{m+1} \log (x) \left (\frac {a x^{-((m+1) n)}}{b}\right )^{\frac {1}{n}}+c_1,y(x)\right ]\] ✓ Maple : cpu = 0.321 (sec), leaf count = 60
\[\int _{\textit {\_b}}^{y \relax (x )}-\frac {x^{m n} x^{n}}{\left (x^{m} x b -\left (m +1\right ) \textit {\_a} \right ) x^{n} x^{m n}+x^{m} x a \,\textit {\_a}^{n}}d \textit {\_a} +\ln \relax (x )-c_{1} = 0\]