What should my boyfriend do if he is particularly busy texting?

It's best to find something to do by yourself, but you must first make sure whether your boyfriend really likes you and cares about you, because a couple, no matter how busy, can't help but want to contact each other. Generally, being busy is an excuse, so you should observe more by yourself. If he really likes you and you can accept his busyness, then divert your attention, make more friends and play with friends!