2.1022   ODE No. 1022

  1. Problem in Latex
  2. Mathematica input
  3. Maple input

\[ y(x) (a \cos (2 x)+b)+y''(x)=0 \] Mathematica : cpu = 0.0203225 (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 = 0.302 (sec), leaf count = 21

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