\[ \boxed { {\frac {\rm d}{{\rm d}x}}y \left ( x \right ) ={\frac { \left ( y \left ( x \right ) -{\it Si} \left ( x \right ) \right ) ^{2}+\sin \left ( x \right ) }{x}}=0} \]
Mathematica: cpu = 56.731204 (sec), leaf count = 25 \[ \text {DSolve}\left [y'(x)=\frac {(y(x)-\text {Si}(x))^2+\sin (x)}{x},y(x),x\right ] \]
Maple: cpu = 0.047 (sec), leaf count = 15 \[ \left \{ y \left ( x \right ) ={\it Si} \left ( x \right ) + \left ( {\it \_C1}-\ln \left ( x \right ) \right ) ^{-1} \right \} \]