I’m not entirely sure why you’re asking specifically with Bootstrap as this doesn’t really pertain to that Framework at all, but I’ve put together a quick draft pen using Bootstrap, jQuery, and Animate.css alongside a JS library for the latter.
It’s very rough though.
http://codepen.io/rkieru/embed/Gqoaww/
Basically this works by applying data-animate-in
and data-animate-out
to the respective div
on hover, and toggles the inner wrappers respectively. It’s perhaps not as smooth as Javascript animations, but it should give you a rough idea of what might be plausible using CSS-driven animations that are merely invoked via Javascript.