It's been a long time since I've done DE's and now I'm stuck with a monster of this form:
y'(t) = a*g'(t) + b*g(t) + c*y(t)
where g(t) is a known function and a, b and c are constants. What kind of DE is this, and how can I solve for y(t) -- or better yet, what should I read to figure this out? The answer involves a convolution integral, that I know for sure.