2.1504   ODE No. 1504

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

\[ \left (x^2+2\right ) y'(x)+\left (x^2+2\right ) y^{(3)}(x)-2 x y''(x)-2 x y(x)=0 \] Mathematica : cpu = 0.101867 (sec), leaf count = 43

\[\left \{\left \{y(x)\to \frac {c_1 x^2}{2}+\frac {1}{2} i c_2 e^{-i x}-\frac {1}{4} c_3 e^{i x}\right \}\right \}\] Maple : cpu = 0.143 (sec), leaf count = 18

\[ \left \{ y \left ( x \right ) ={\it \_C1}\,{x}^{2}+{\it \_C2}\,\cos \left ( x \right ) +{\it \_C3}\,\sin \left ( x \right ) \right \} \]