2.1512   ODE No. 1512

\[ \left (1-a^2\right ) x y'(x)+x^3 y^{(3)}(x)+3 x^2 y''(x)=0 \] Mathematica : cpu = 0.0291181 (sec), leaf count = 29


\[\left \{\left \{y(x)\to -\frac {c_1 x^{-a}}{a}+\frac {c_2 x^a}{a}+c_3\right \}\right \}\] Maple : cpu = 0.012 (sec), leaf count = 18


\[y \relax (x ) = c_{1}+c_{2} x^{a}+c_{3} x^{-a}\]