2.1175   ODE No. 1175

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

\[ -\left (a x^2+12 a+4\right ) \cos (x)+x^2 y''(x)-2 x y'(x)-4 y(x)-x \sin (x)=0 \] Mathematica : cpu = 0.209164 (sec), leaf count = 38

\[\left \{\left \{y(x)\to \frac {-2 a \sin (x)-a x \cos (x)-\sin (x)}{x}+c_2 x^4+\frac {c_1}{x}\right \}\right \}\] Maple : cpu = 0.147 (sec), leaf count = 29

\[ \left \{ y \left ( x \right ) ={\frac { \left ( -2\,a-1 \right ) \sin \left ( x \right ) +{x}^{5}{\it \_C2}-ax\cos \left ( x \right ) +{\it \_C1}}{x}} \right \} \]