ODE No. 1526

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

\[ \left (x^4+2 x^2+2 x+1\right ) x^2 y^{(3)}(x)-\left (2 x^6+3 x^4-6 x^2-6 x-1\right ) y''(x)+\left (x^6-6 x^3-15 x^2-12 x-2\right ) y'(x)+\left (x^4+4 x^3+8 x^2+6 x+1\right ) y(x)=0 \] Mathematica : cpu = 3603.43 (sec), leaf count = 0 , timed out

$Aborted

Maple : cpu = 0.243 (sec), leaf count = 19

\[ \left \{ y \left ( x \right ) ={\it \_C2}\,{{\rm e}^{{x}^{-1}}}+{{\rm e}^{x}} \left ( {\it \_C3}\,x+{\it \_C1} \right ) \right \} \]