Entitymanager causing memory leak?

I have a slow memory leak in my Java application. I was wondering if this could be caused by not always closing the Entitymanager when used. However using myeclipse to generate DB code, I'm getting methods like this:

public Meit update(Meit entity) {
    logger.info("updating Meit instance");
    try {
        Meit result = getEntityManager().merge(entity);
        logger.info("update successful");
        return result;
    } catch (RuntimeException re) {
        logger.error("update failed");
        throw re;
    }
}

Which never close the EntityManager. Considering this is generated code, I'm wondering who's right, me or the IDE.