2.1186   ODE No. 1186

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

\[ x^2 y''(x)+x^3 (-\sin (x))-5 x y'(x)+8 y(x)=0 \] Mathematica : cpu = 0.0142154 (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 = 0.077 (sec), leaf count = 36

\[ \left \{ y \left ( x \right ) ={\frac {{x}^{4}{\it Ci} \left ( x \right ) }{2}}-{\frac {\sin \left ( x \right ) {x}^{3}}{2}}+{\frac {{x}^{2} \left ( 2\,{\it \_C1}\,{x}^{2}+2\,{\it \_C2}+\cos \left ( x \right ) \right ) }{2}} \right \} \]