2.1254   ODE No. 1254

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

\[ \left (x^2+x-2\right ) y''(x)+\left (x^2-x\right ) y'(x)-\left (6 x^2+7 x\right ) y(x)=0 \] Mathematica : cpu = 0.0946372 (sec), leaf count = 60

\[\left \{\left \{y(x)\to \frac {1}{5} e^{-3 x-5} \left (195 c_2 e^{5 x} (x-1) \text {Ei}(5-5 x)-e^5 \left (5 c_1 e^{5 x} (x-1)-c_2 (x+44)\right )\right )\right \}\right \}\]

Maple : cpu = 0.084 (sec), leaf count = 42

\[ \left \{ y \left ( x \right ) =-195\,{\it \_C2}\,{{\rm e}^{2\,x-5}} \left ( x-1 \right ) {\it Ei} \left ( 1,5\,x-5 \right ) +{\it \_C2}\, \left ( x+44 \right ) {{\rm e}^{-3\,x}}+{\it \_C1}\,{{\rm e}^{2\,x}} \left ( x-1 \right ) \right \} \]