dsolve({t^2*(1-sin(t))*diff(x(t),t) = t*(1-2*sin(t))*x(t)+t^2*y(t), t^2*(1-sin(t))*diff(y(t),t) = (t*cos(t)-sin(t))*x(t)+t*(1-t*cos(t))*y(t)})