ODE No. 1122

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

\[ -\left (x^2-x-2\right ) y'(x)+x y''(x)-x (x+3) y(x)=0 \] Mathematica : cpu = 10.7986 (sec), leaf count = 56

\[\left \{\left \{y(x)\to c_2 e^{\frac {x^2}{2}} \int _1^x \frac {e^{-\frac {1}{2} K[1]^2-K[1]}}{K[1]^2} \, dK[1]+c_1 e^{\frac {x^2}{2}}\right \}\right \}\] Maple : cpu = 0.276 (sec), leaf count = 28

\[ \left \{ y \left ( x \right ) ={{\rm e}^{{\frac {{x}^{2}}{2}}}} \left ( \int \!{\frac {1}{{x}^{2}}{{\rm e}^{-{\frac {x \left ( x+2 \right ) }{2}}}}}\,{\rm d}x{\it \_C2}+{\it \_C1} \right ) \right \} \]