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 = 0.228381 (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 = 0.087 (sec), leaf count = 29

\[\left \{y \left (x \right ) = \frac {c_{2} x^{5}-a x \cos \left (x \right )+c_{1}+\left (-2 a -1\right ) \sin \left (x \right )}{x}\right \}\]