\[ y''(x)=\frac {y(x) \sin (x)}{x \cos (x)-\sin (x)}-\frac {x \sin (x) y'(x)}{x \cos (x)-\sin (x)} \] ✓ Mathematica : cpu = 0.129966 (sec), leaf count = 15
\[\{\{y(x)\to c_1 x+c_2 \sin (x)\}\}\] ✓ Maple : cpu = 3.614 (sec), leaf count = 59
\[\left \{y \left (x \right ) = \left (c_{2} \left (\int \cos \left (x \right ) {\mathrm e}^{\int \frac {-2 x \left (\cos ^{3}\left (x \right )\right )+3 \left (\cos ^{2}\left (x \right )\right ) \sin \left (x \right )-\sin \left (x \right )}{\left (x \cos \left (x \right )-\sin \left (x \right )\right ) \cos \left (x \right ) \sin \left (x \right )}d x}d x \right )+c_{1}\right ) \sin \left (x \right )\right \}\]