4.227   ODE No. 1227

\[ \boxed { \left ( {x}^{2}+1 \right ) {\frac {{\rm d}^{2}}{{\rm d}{x}^{2}}}y \left ( x \right ) -2\,x{\frac {\rm d}{{\rm d}x}}y \left ( x \right ) +2\,y \left ( x \right ) =0} \]

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

Mathematica: cpu = 0.036005 (sec), leaf count = 21 \[ \left \{\left \{y(x)\to c_2 x-c_1 (x-i)^2\right \}\right \} \]

Maple: cpu = 0.016 (sec), leaf count = 15 \[ \left \{ y \left ( x \right ) =x{\it \_C1}+{\it \_C2}\, \left ( {x}^{2}-1 \right ) \right \} \]