2.1121   ODE No. 1121

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

\[ -\left (x^2-x\right ) y'(x)+x y''(x)+(x-1) y(x)=0 \] Mathematica : cpu = 0.227533 (sec), leaf count = 41

\[\left \{\left \{y(x)\to c_2 x \int _1^x\frac {e^{\frac {K[1]^2}{2}-K[1]}}{K[1]^2}dK[1]+c_1 x\right \}\right \}\] Maple : cpu = 0.033 (sec), leaf count = 23

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