\[ \frac {1}{2} (a-b) y(x)+x^a y(x)^2+x^b+x y'(x)=0 \] ✓ Mathematica : cpu = 0.231483 (sec), leaf count = 40
\[\left \{\left \{y(x)\to -x^{\frac {b-a}{2}} \tan \left (\frac {2 x^{\frac {a+b}{2}}}{a+b}-c_1\right )\right \}\right \}\] ✓ Maple : cpu = 0.069 (sec), leaf count = 41
\[\left \{y \left (x \right ) = -x^{-\frac {a}{2}+\frac {b}{2}} \tan \left (\frac {c_{1} \left (a +b \right )+2 x^{\frac {a}{2}+\frac {b}{2}}}{a +b}\right )\right \}\]