\[ a y(x) y'(x)+b x+x y'(x)^2=0 \] ✓ Mathematica : cpu = 0.768636 (sec), leaf count = 223
\[\left \{\text {Solve}\left [\frac {-2 a \tan ^{-1}\left (\frac {a y(x)}{x \sqrt {4 b-\frac {a^2 y(x)^2}{x^2}}}\right )+(a+2) \left (2 \tan ^{-1}\left (\frac {(a+2) y(x)}{x \sqrt {4 b-\frac {a^2 y(x)^2}{x^2}}}\right )-i \log \left (\frac {(a+1) y(x)^2}{x^2}+b\right )\right )}{8 (a+1)}=\frac {1}{2} i \log (x)+c_1,y(x)\right ],\text {Solve}\left [\frac {-2 a \tan ^{-1}\left (\frac {a y(x)}{x \sqrt {4 b-\frac {a^2 y(x)^2}{x^2}}}\right )+(a+2) \left (2 \tan ^{-1}\left (\frac {(a+2) y(x)}{x \sqrt {4 b-\frac {a^2 y(x)^2}{x^2}}}\right )+i \log \left (\frac {(a+1) y(x)^2}{x^2}+b\right )\right )}{8 (a+1)}=c_1-\frac {1}{2} i \log (x),y(x)\right ]\right \}\] ✓ Maple : cpu = 0.124 (sec), leaf count = 193
\[\frac {c_{1} \left (a y \relax (x )+\sqrt {a^{2} y \relax (x )^{2}-4 b \,x^{2}}\right ) \left (\frac {a \left (y \relax (x ) \left (a +1\right ) \sqrt {a^{2} y \relax (x )^{2}-4 b \,x^{2}}+\left (a^{2}+a \right ) y \relax (x )^{2}-2 b \,x^{2}\right )}{2 x^{2}}\right )^{\frac {-a -2}{2 a +2}}+x^{2}}{x} = 0\]