ODE No. 1193

\[ x^2 y''(x)+(x+1) x y'(x)+(x-9) y(x)=0 \] Mathematica : cpu = 0.185065 (sec), leaf count = 44

DSolve[(-9 + x)*y[x] + x*(1 + x)*Derivative[1][y][x] + x^2*Derivative[2][y][x] == 0,y[x],x]
 

\[\left \{\left \{y(x)\to \frac {c_1 ((x-8) x+20)}{x^3}-\frac {c_2 e^{-x} \left (x^3+9 x^2+36 x+60\right )}{x^3}\right \}\right \}\] Maple : cpu = 0.033 (sec), leaf count = 38

dsolve(x^2*diff(diff(y(x),x),x)+x*(1+x)*diff(y(x),x)+(x-9)*y(x)=0,y(x))
 

\[y \left (x \right ) = \frac {c_{2} \left (x^{3}+9 x^{2}+36 x +60\right ) {\mathrm e}^{-x}+c_{1} \left (x^{2}-8 x +20\right )}{x^{3}}\]