Ok, um, I just saw this person talking about how Jason hates Percy, then they continued to justify why he hates him. And if that's how you interpreted it then that's fine. But I just wanna say: Jason does not hate Percy. Sure, they weren't particularly found of each other in the beginning, but that definitely doesnt mean they hate each other. When they first met they had a little rivalry between each other, sure, but that's to be expected. They're both leaders from their camps, and when two leaders are put on the same team it makes sense that they'll argue for a while. But they both, like good, true leaders, dont let it last long. They get over themselves pretty quickly and start to try to learn from each other, as any good leaders do. They put their pride aside, and find a way to work together so that they can help the group. They start picking up on each other's strengths and using it to better themselves. Sure, they could've been jealous of each other's accomplishments, but that is normal. I truly believe that after they figure out how to adapt to working together, they became good friends. They both have similar experiences and can relate to each other in ways no one else could. (And as for the "but Jason is too perfect hes 2d" argument, I can completely go off about that too. But that's for another time). They seriously would benefit from being around each other and I dont think either of them would ignore that.
In summary: No, they dont hate each other. It just took some adapting, which is understandable.
Thank you for coming to my ted talk :)