2.1229   ODE No. 1229

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

\[ \left (x^2+1\right ) y''(x)+4 x y'(x)+2 y(x)+2 x-2 \cos (x)=0 \] Mathematica : cpu = 0.0286963 (sec), leaf count = 48

\[\left \{\left \{y(x)\to \frac {-x^3-6 \cos (x)}{3 \left (x^2+1\right )}+\frac {c_1}{x^2+1}+\frac {c_2 x}{x^2+1}\right \}\right \}\] Maple : cpu = 0.094 (sec), leaf count = 31

\[ \left \{ y \left ( x \right ) ={\frac {-{x}^{3}+3\,{\it \_C1}\,x-6\,\cos \left ( x \right ) +3\,{\it \_C2}}{3\,{x}^{2}+3}} \right \} \]