2.1880   ODE No. 1880

\[ \left \{t^2 (1-\sin (t)) x'(t)=t^2 y(t)+t x(t) (1-2 \sin (t)),t^2 (1-\sin (t)) y'(t)=x(t) (t \cos (t)-\sin (t))+t y(t) (1-t \cos (t))\right \} \] Mathematica : cpu = 0.0158174 (sec), leaf count = 29


\[\left \{\left \{x(t)\to c_1 t^2+c_2 t,y(t)\to c_1 t+c_2 \sin (t)\right \}\right \}\] Maple : cpu = 0.091 (sec), leaf count = 23


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