\[ -a y(x)^n-b x^{(m+1) n}+x^{m (n-1)+n} y'(x)=0 \] ✓ Mathematica : cpu = 0.342692 (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 = 0.266 (sec), leaf count = 60
\[ \left \{ \int _{{\it \_b}}^{y \left ( x \right ) }\!-{\frac {{x}^{mn}{x}^{n}}{{x}^{n} \left ( {x}^{m}xb- \left ( m+1 \right ) {\it \_a} \right ) {x}^{mn}+a{{\it \_a}}^{n}{x}^{m}x}}\,{\rm d}{\it \_a}+\ln \left ( x \right ) -{\it \_C1}=0 \right \} \]