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 = 0.102536 (sec), leaf count = 52

\[\left \{\left \{y(x)\to 39 c_2 e^{2 x-5} (x-1) \text {Ei}(5-5 x)+c_1 \left (-e^{2 x}\right ) (x-1)+\frac {1}{5} c_2 e^{-3 x} (x+44)\right \}\right \}\]

Maple : cpu = 0.083 (sec), leaf count = 43

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