2.1512   ODE No. 1512

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

\[ \left (1-a^2\right ) x y'(x)+3 x^2 y''(x)+x^3 y^{(3)}(x)=0 \] Mathematica : cpu = 0.0300816 (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 = 0.01 (sec), leaf count = 18

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