2.1234   ODE No. 1234

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

\[ \left (x^2-1\right ) y''(x)+x y'(x)+2=0 \] Mathematica : cpu = 0.0581591 (sec), leaf count = 48

\[\left \{\left \{y(x)\to c_2-\frac {1}{4} \left (c_1+\log \left (1-\frac {x}{\sqrt {x^2-1}}\right )-\log \left (\frac {x}{\sqrt {x^2-1}}+1\right )\right ){}^2\right \}\right \}\] Maple : cpu = 0. (sec), leaf count = 0 , could not solve

dsolve((x^2-1)*diff(diff(y(x),x),x)+x*diff(y(x),x)+2=0,y(x))