2.1513   ODE No. 1513

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

\[ x^3 y^{(3)}(x)-4 x^2 y''(x)+\left (x^2+8\right ) x y'(x)-2 \left (x^2+4\right ) y(x)=0 \] Mathematica : cpu = 0.0833341 (sec), leaf count = 25

\[\left \{\left \{y(x)\to c_1 x^2-c_2 x \sin (x)+c_3 x \cos (x)\right \}\right \}\]

Maple : cpu = 0.2 (sec), leaf count = 20

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