2.1526   ODE No. 1526

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

\[ \left (x^6-6 x^3-15 x^2-12 x-2\right ) y'(x)-\left (2 x^6+3 x^4-6 x^2-6 x-1\right ) y''(x)+\left (x^4+2 x^2+2 x+1\right ) x^2 y^{(3)}(x)+\left (x^4+4 x^3+8 x^2+6 x+1\right ) y(x)=0 \] Mathematica : cpu = 130.133 (sec), leaf count = 27

\[\left \{\left \{y(x)\to c_1 e^x+c_2 e^x x+c_3 e^{\frac {1}{x}}\right \}\right \}\] Maple : cpu = 0.188 (sec), leaf count = 19

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