2.1071   ODE No. 1071

\[ \left (b^2-a^2\right ) y(x)+2 a \cot (a x) y'(x)+y''(x)=0 \] Mathematica : cpu = 0.061108 (sec), leaf count = 44


\[\left \{\left \{y(x)\to c_1 e^{-i b x} \csc (a x)-\frac {i c_2 e^{i b x} \csc (a x)}{2 b}\right \}\right \}\] Maple : cpu = 0.07 (sec), leaf count = 24


\[y \relax (x ) = \frac {c_{2} \cos \left (b x \right )+c_{1} \sin \left (b x \right )}{\sin \left (a x \right )}\]