2.175   ODE No. 175

\[ a x^3+\left (x^2-1\right ) x y'(x)-\left (2 x^2-1\right ) y(x)=0 \] Mathematica : cpu = 0.0305071 (sec), leaf count = 24


\[\left \{\left \{y(x)\to a x+c_1 \sqrt {1-x^2} x\right \}\right \}\] Maple : cpu = 0.019 (sec), leaf count = 20


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