2.1193   ODE No. 1193

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

\[ x^2 y''(x)+(x+1) x y'(x)+(x-9) y(x)=0 \] Mathematica : cpu = 0.213352 (sec), leaf count = 44

\[\left \{\left \{y(x)\to \frac {c_1 ((x-8) x+20)}{x^3}-\frac {c_2 e^{-x} \left (x^3+9 x^2+36 x+60\right )}{x^3}\right \}\right \}\] Maple : cpu = 0.058 (sec), leaf count = 38

\[ \left \{ y \left ( x \right ) ={\frac {{\it \_C2}\, \left ( {x}^{3}+9\,{x}^{2}+36\,x+60 \right ) {{\rm e}^{-x}}+{\it \_C1}\, \left ( {x}^{2}-8\,x+20 \right ) }{{x}^{3}}} \right \} \]