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 = 0.188583 (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 = 0.053 (sec), leaf count = 23

\[ \left \{ y \left ( x \right ) = \left ( \int \!{\frac {1}{{x}^{2}}{{\rm e}^{{\frac {x \left ( x-2 \right ) }{2}}}}}\,{\rm d}x{\it \_C1}+{\it \_C2} \right ) x \right \} \]