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

DSolve[x^2 - 8*y[x] + 3*x*y[x] + (6 - 5*x + x^2)*Derivative[1][y][x] == 0,y[x],x]
 

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

dsolve((x^2-5*x+6)*diff(y(x),x)+3*x*y(x)-8*y(x)+x^2 = 0,y(x))
 

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