2.1471   ODE No. 1471

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

\[ f(x) y''(x)+f(x) y(x)+y^{(3)}(x)+y'(x)=0 \] Mathematica : cpu = 0.112313 (sec), leaf count = 84

\[\left \{\left \{y(x)\to c_3 e^{i x} \int _1^xe^{-2 i K[3]} \int _1^{K[3]}\exp \left (\int _1^{K[2]}(i-f(K[1]))dK[1]\right )dK[2]dK[3]+c_1 e^{i x}+\frac {1}{2} i c_2 e^{-i x}\right \}\right \}\] Maple : cpu = 0.157 (sec), leaf count = 36

\[\{y \left (x \right ) = \left (c_{1}+\int \left (c_{2}+\int c_{3} {\mathrm e}^{\int \left (-f \left (x \right )+i\right )d x}d x \right ) {\mathrm e}^{-2 i x}d x \right ) {\mathrm e}^{i x}\}\]