2.1254   ODE No. 1254

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

\[ \left (x^2-x\right ) y'(x)+\left (x^2+x-2\right ) y''(x)-\left (6 x^2+7 x\right ) y(x)=0 \] Mathematica : cpu = 0.150743 (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 = 0.085 (sec), leaf count = 42

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