2.161   ODE No. 161

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

\[ \left (x^2-5 x+6\right ) y'(x)+x^2+3 x y(x)-8 y(x)=0 \] Mathematica : cpu = 0.0313999 (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

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