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 = 0.0337866 (sec), leaf count = 42

\[\left \{\left \{y(x)\to c_2 x^4+c_1 x^2+\frac {1}{2} \left (x^4 \text {Ci}(x)-x^3 \sin (x)+x^2 \cos (x)\right )\right \}\right \}\] Maple : cpu = 0.04 (sec), leaf count = 36

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