4.186   ODE No. 1186

\[ \boxed { {x}^{2}{\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -5\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +8\,y \left ( x \right ) -\sin \left ( x \right ) {x}^{3}=0} \]

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

Mathematica: cpu = 0.029504 (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 = 0.015 (sec), leaf count = 34 \[ \left \{ y \left ( x \right ) ={x}^{4}{\it \_C2}+{\it \_C1}\,{x}^{2}+{ \frac { \left ( \cos \left ( x \right ) +x \left ( x{\it Ci} \left ( x \right ) -\sin \left ( x \right ) \right ) \right ) {x}^{2}}{2}} \right \} \]