\[ a \sqrt [3]{y'(x)^3+1}+b x y'(x)-y(x)=0 \] ✓ Mathematica : cpu = 0.156753 (sec), leaf count = 84
\[\text {Solve}\left [\left \{x=K[1]^{\frac {b}{1-b}} \left (\frac {a \int \frac {K[1]^{\frac {2 b-1}{b-1}}}{\left (K[1]^3+1\right )^{2/3}}dK[1]}{1-b}+c_1\right ),y(x)=a \sqrt [3]{K[1]^3+1}+b x K[1]\right \},\{K[1],y(x)\}\right ]\] ✓ Maple : cpu = 0.185 (sec), leaf count = 3306
\[\text {Expression too large to display}\]