2.1358   ODE No. 1358

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

\[ y''(x)=\frac {\left (x^2-2\right ) y'(x)}{x \left (x^2-1\right )}-\frac {\left (x^2-2\right ) y(x)}{x^2 \left (x^2-1\right )} \] Mathematica : cpu = 0.0680011 (sec), leaf count = 71

\[\left \{\left \{y(x)\to \frac {x \sqrt [4]{x^2-1} \left (-c_2 \log \left (1-\frac {x}{\sqrt {x^2-1}}\right )+c_2 \log \left (\frac {x}{\sqrt {x^2-1}}+1\right )+2 c_1\right )}{2 \sqrt [4]{1-x^2}}\right \}\right \}\]

Maple : cpu = 0.068 (sec), leaf count = 20

\[ \left \{ y \left ( x \right ) =x \left ( \ln \left ( x+\sqrt {{x}^{2}-1} \right ) {\it \_C2}+{\it \_C1} \right ) \right \} \]