Good day mamas and papas in the house. Please I need your advice here. The thing is that my boyfriend and I broke up recently and now it feels like I'm initiating everything because we are still friends. I asked him to lunch the other day, and he quickly complied. Then when I finalized plans with him a few days later, he seemed very happy with the idea of both of us going out together. I'm not actually "pursuing" him, I just want to be a good friend to him and ask him to hang out. He seems so open to hanging out, he just won't initiate it himself. Should I stop doing this because it makes me seem desperate? And just wait for him to contact me? 

I'm happy on my own now, and I don't have any expectations from him, but I just don't want him to disappear from my life. I have a glimmer of hope that someday he might realize that I was the right one after all, for sticking around and being there for him. Is this possible? Even if he doesn't and meets someone else, I don't want to lose him as a friend.

 For context, we broke up due to differences in interests, and over his lack of communication in the relationship, not a big reason. Even when we broke up, he said he really liked me, but things just didn't work out for us. He's a passive, patient type of guy who just waits things out and takes weeks to make decisions.

Thank you for any answer at all