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 = 0.0910696 (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 = 0.168 (sec), leaf count = 18

\[\{y \left (x \right ) = \left (c_{1} x +c_{2} \sin \left (x \right )+c_{3} \cos \left (x \right )\right ) x\}\]