2.1186   ODE No. 1186

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

\[ x^3 (-\sin (x))+x^2 y''(x)-5 x y'(x)+8 y(x)=0 \] Mathematica : cpu = 0.0156754 (sec), leaf count = 42

\[\left \{\left \{y(x)\to \frac {1}{2} \left (x^4 \text {Ci}(x)-x^3 \sin (x)+x^2 \cos (x)\right )+c_2 x^4+c_1 x^2\right \}\right \}\] Maple : cpu = 0.036 (sec), leaf count = 36

\[\left \{y \left (x \right ) = \frac {x^{4} \Ci \left (x \right )}{2}-\frac {x^{3} \sin \left (x \right )}{2}+\frac {\left (2 c_{2} x^{2}+2 c_{1}+\cos \left (x \right )\right ) x^{2}}{2}\right \}\]