2.161   ODE No. 161

\[ \left (x^2-5 x+6\right ) y'(x)+x^2+3 x y(x)-8 y(x)=0 \] Mathematica : cpu = 0.0279917 (sec), leaf count = 53


\[\left \{\left \{y(x)\to \frac {\frac {x^4}{4}-\frac {2 x^3}{3}}{(2-x)^2 (3-x)}+\frac {c_1}{(2-x)^2 (3-x)}\right \}\right \}\] Maple : cpu = 0.018 (sec), leaf count = 27


\[y \relax (x ) = \frac {-\frac {1}{4} x^{4}+\frac {2}{3} x^{3}+c_{1}}{\left (x -3\right ) \left (x -2\right )^{2}}\]