\[ \left (\frac {a x}{\sqrt {b^2-x^2}}-x\right ) y'(x)^2+x y(x) y''(x)-y(x) y'(x)=0 \] ✓ Mathematica : cpu = 0.0794915 (sec), leaf count = 55
\[\left \{\left \{y(x)\to c_2 \exp \left (\frac {c_1 \log \left (a \sqrt {b^2-x^2}-c_1\right )}{a^2}+\frac {\sqrt {b^2-x^2}}{a}\right )\right \}\right \}\] ✓ Maple : cpu = 0.405 (sec), leaf count = 50
\[ \left \{ y \left ( x \right ) ={\it \_C2}\,{{\rm e}^{\int \!-{x\sqrt {{b}^{2}-{x}^{2}} \left ( {\it \_C1}\,\sqrt {{b}^{2}-{x}^{2}}+a \left ( {b}^{2}-{x}^{2} \right ) \right ) ^{-1}}\,{\rm d}x}} \right \} \]