2.1512   ODE No. 1512

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

\[ \left (1-a^2\right ) x y'(x)+x^3 y^{(3)}(x)+3 x^2 y''(x)=0 \] Mathematica : cpu = 0.038938 (sec), leaf count = 29

\[\left \{\left \{y(x)\to \frac {-c_1 x^{-a}+c_2 x^a+a c_3}{a}\right \}\right \}\]

Maple : cpu = 0.013 (sec), leaf count = 18

\[ \left \{ y \left ( x \right ) ={\it \_C1}+{\it \_C2}\,{x}^{-a}+{\it \_C3}\,{x}^{a} \right \} \]