2.1340   ODE No. 1340

\[ y''(x)=\frac {2 (a x+2 b) y'(x)}{x (a x+b)}-\frac {y(x) (2 a x+6 b)}{x^2 (a x+b)} \] Mathematica : cpu = 0.0246461 (sec), leaf count = 32


\[\left \{\left \{y(x)\to \frac {c_2 x^3}{a x+b}+\frac {c_1 x^2}{a x+b}\right \}\right \}\] Maple : cpu = 0.022 (sec), leaf count = 20


\[y \relax (x ) = \frac {x^{2} \left (x c_{2}+c_{1}\right )}{a x +b}\]