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 = 0.0179409 (sec), leaf count = 24

\[\left \{\left \{y(x)\to a x+c_1 \sqrt {1-x^2} x\right \}\right \}\] Maple : cpu = 0.015 (sec), leaf count = 20

\[ \left \{ y \left ( x \right ) =x \left ( \sqrt {x-1}\sqrt {1+x}{\it \_C1}+a \right ) \right \} \]