My boyfriend is having trust issues. Should I leave him or work it out?

LuckyHoney33
Me and my boyfriend have been dating for almost a year and so far it's been good we've had our problems like other couples and we try to work it out and move on. The only thing is he doesn't trust me, I don't know why he doesn't, I've never cheated on him (HONESTLY NEVER) I've showed him my dms on Instagram and Facebook, I've made it known publicly that we're dating but he often accuses me of cheating without any proof to back it up.

We usually talk everyday but yesterday something happened to were I had to be taken to the hospital and I had to stay over night and that whole time I was thinking about how worried and upset my boyfriend will be because I was unable to answer his calls.

So today I texted him (He was at work so I couldn't call him) and said "I'm sorry I couldn't answer your calls and incident happened at work and I had to be taken to the hospital also I had to stay over night but I'm fine now and I'm back home so we can talk tonight. " And all he sent me was "... " Then he asks me questions "What happened at work?" And more "..." So I tell him I'll explain everything tonight and he says ok.
Then I get on Facebook and he's took off his profile that we're dating.

It's hurts because I love him but it feels like he doesn't love me so my question is should I just leave him or try to explain it to him and work it out?
My boyfriend is having trust issues. Should I leave him or work it out?
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