2.175   ODE No. 175

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

\[ a x^3+\left (x^2-1\right ) x y'(x)-\left (2 x^2-1\right ) y(x)=0 \] Mathematica : cpu = 0.0326612 (sec), leaf count = 24

\[\left \{\left \{y(x)\to a x+c_1 \sqrt {1-x^2} x\right \}\right \}\] Maple : cpu = 0.018 (sec), leaf count = 20

\[\left \{y \left (x \right ) = \left (c_{1} \sqrt {x -1}\, \sqrt {x +1}+a \right ) x\right \}\]