2.1519   ODE No. 1519

\[ (x+3) x^2 y^{(3)}(x)-3 (x+2) x y''(x)+6 (x+1) y'(x)-6 y(x)=0 \] Mathematica : cpu = 0.0236776 (sec), leaf count = 65


\[\left \{\left \{y(x)\to \frac {1}{4} c_1 \left (x^3-3 x^2+3 x+3\right )+\frac {1}{2} c_2 \left (-x^3+3 x^2-x-1\right )+\frac {1}{8} c_3 \left (3 x^3-5 x^2+x+1\right )\right \}\right \}\] Maple : cpu = 0.119 (sec), leaf count = 19


\[y \relax (x ) = x^{3} c_{2}+c_{1} x^{2}+c_{3} x +c_{3}\]