2.1022   ODE No. 1022

\[ y(x) (a \cos (2 x)+b)+y''(x)=0 \] Mathematica : cpu = 0.0186718 (sec), leaf count = 28


\[\left \{\left \{y(x)\to c_1 \text {MathieuC}\left [b,-\frac {a}{2},x\right ]+c_2 \text {MathieuS}\left [b,-\frac {a}{2},x\right ]\right \}\right \}\] Maple : cpu = 0.2 (sec), leaf count = 21


\[y \relax (x ) = c_{1} \MathieuC \left (b , -\frac {a}{2}, x\right )+c_{2} \MathieuS \left (b , -\frac {a}{2}, x\right )\]