2.1122   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 = 0.234063 (sec), leaf count = 57

\[\left \{\left \{y(x)\to c_2 e^{\frac {x^2}{2}} \int _1^x\frac {e^{-\frac {1}{2} K[1]^2-K[1]}}{K[1]^2}dK[1]+c_1 e^{\frac {x^2}{2}}\right \}\right \}\] Maple : cpu = 0.25 (sec), leaf count = 28

\[\left \{y \left (x \right ) = \left (c_{2} \left (\int \frac {{\mathrm e}^{-\frac {\left (x +2\right ) x}{2}}}{x^{2}}d x \right )+c_{1}\right ) {\mathrm e}^{\frac {x^{2}}{2}}\right \}\]