\[ a y(x)-b \sin (c x)+y'(x)=0 \] ✓ Mathematica : cpu = 0.0484241 (sec), leaf count = 40
\[\left \{\left \{y(x)\to \frac {b (a \sin (c x)-c \cos (c x))}{a^2+c^2}+c_1 e^{-a x}\right \}\right \}\]
✓ Maple : cpu = 0.023 (sec), leaf count = 37
\[ \left \{ y \left ( x \right ) ={{\rm e}^{-ax}}{\it \_C1}+{\frac {b \left ( \sin \left ( cx \right ) a-c\cos \left ( cx \right ) \right ) }{{a}^{2}+{c}^{2}}} \right \} \]