The reflecting function of one two dimensional differential system

It was established , that if the first component of the Mironenko reflecting function of the system $\dot{x} = a_0 (t, x) + ya_1 (t, x)$, $\dot{y} = b_0 (t, x) + yb_1 (t, x) + y b_2 (t, x)$ is linear with respect to $x$, and independent of $y$ then the second component of the reflecting function is linear with respect to $y$.