2.1126   ODE No. 1126

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

\[ \left (a^2 x^3+a\right ) y(x)+\left (2 a x^3-1\right ) y'(x)+x y''(x)=0 \] Mathematica : cpu = 1.00992 (sec), leaf count = 0 , DifferentialRoot result

\[\left \{\left \{y(x)\to (x)\right \}\right \}\]

Maple : cpu = 0.034 (sec), leaf count = 19

\[\left \{y \left (x \right ) = \left (c_{2} x^{2}+c_{1}\right ) {\mathrm e}^{-\frac {a \,x^{3}}{3}}\right \}\]