2.1178   ODE No. 1178

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

\[ x^3 (-\sec (x))+x^2 y''(x)+\left (x^2+2\right ) y(x)-2 x y'(x)=0 \] Mathematica : cpu = 0.0572242 (sec), leaf count = 63

\[\left \{\left \{y(x)\to \frac {1}{2} e^{-i x} x \left (-i c_2 e^{2 i x}+2 c_1+e^{2 i x} \log \left (1+e^{-2 i x}\right )+\log \left (1+e^{2 i x}\right )\right )\right \}\right \}\]

Maple : cpu = 0.027 (sec), leaf count = 23

\[ \left \{ y \left ( x \right ) = \left ( \cos \left ( x \right ) \ln \left ( \cos \left ( x \right ) \right ) +\cos \left ( x \right ) {\it \_C1}+\sin \left ( x \right ) \left ( x+{\it \_C2} \right ) \right ) x \right \} \]