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 = 0.032205 (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 = 0.02 (sec), leaf count = 31

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