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 = 0.150906 (sec), leaf count = 69

\[\left \{\left \{y(x)\to \frac {1}{5} c_2 e^{-3 x-5} \left (195 e^{5 x} x \text {Ei}(5-5 x)-195 e^{5 x} \text {Ei}(5-5 x)+e^5 x+44 e^5\right )-c_1 e^{2 x} (x-1)\right \}\right \}\] Maple : cpu = 0.074 (sec), leaf count = 43

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