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 = 0.043898 (sec), leaf count = 48

\[\left \{\left \{y(x)\to \frac {c_1}{x^2+1}+\frac {c_2 x}{x^2+1}+\frac {-x^3-6 \cos (x)}{3 \left (x^2+1\right )}\right \}\right \}\]

Maple : cpu = 0.017 (sec), leaf count = 41

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C1}\,x}{{x}^{2}+1}}+{\frac {{\it \_C2}}{{x}^{2}+1}}-{\frac {{x}^{3}+6\,\cos \left ( x \right ) }{3\,{x}^{2}+3}} \right \} \]