4.237   ODE No. 1237

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

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

Mathematica: cpu = 0.010001 (sec), leaf count = 30 \[ \left \{\left \{y(x)\to c_1 \left (\frac {1}{2} \log (1-x)-\frac {1}{2} \log (x+1)\right )+c_2\right \}\right \} \]

Maple: cpu = 0.031 (sec), leaf count = 21 \[ \left \{ y \left ( x \right ) ={\it \_C1}+ \left ( -{\frac {\ln \left ( 1 +x \right ) }{2}}+{\frac {\ln \left ( x-1 \right ) }{2}} \right ) {\it \_C2} \right \} \]