2.1513   ODE No. 1513

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

\[ \left (x^2+8\right ) x y'(x)-4 x^2 y''(x)+x^3 y^{(3)}(x)-2 \left (x^2+4\right ) y(x)=0 \] Mathematica : cpu = 0.0722406 (sec), leaf count = 25

\[\left \{\left \{y(x)\to c_1 x^2+c_3 x \cos (x)-c_2 x \sin (x)\right \}\right \}\] Maple : cpu = 0.172 (sec), leaf count = 18

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