Generalized eigenvalue problem in ApproxFun.jl

Looking through the examples in ApproxFun.jl, I didn’t see one of a generalized eigenvalue problem. Is this possible? Is there a short example?

To make it explicit, I’m trying to solve this system:
\begin{align} a_1(V+W) + a_2 U' &= \lambda (a_3V + a_4W)\\ b_1(V'+W') &= \lambda U\\ c_1V &= \lambda W \end{align}
where U = U(x), V = V(x), W = W(x).

@dlfivefifty , do you know whether this is possible?