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 = 0.0144766 (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 = 0.011 (sec), leaf count = 27

\[ \left \{ y \left ( x \right ) ={\frac {1}{ \left ( x-2 \right ) ^{2} \left ( x-3 \right ) } \left ( -{\frac {{x}^{4}}{4}}+{\frac {2\,{x}^{3}}{3}}+{\it \_C1} \right ) } \right \} \]