2.1885   ODE No. 1885

\[ \left \{t x'(t)-t y'(t)-2 y(t)=0,t x''(t)+2 x'(t)+t x(t)=0\right \} \] Mathematica : cpu = 0.0168701 (sec), leaf count = 66


\[\left \{\left \{x(t)\to \frac {c_2 \cos (t)}{t}+\frac {c_3 \sin (t)}{t},y(t)\to \frac {c_1}{t^2}+c_2 \left (\frac {\cos (t)}{t}-\frac {2 \sin (t)}{t^2}\right )+c_3 \left (\frac {2 \cos (t)}{t^2}+\frac {\sin (t)}{t}\right )\right \}\right \}\] Maple : cpu = 0.12 (sec), leaf count = 47


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