I was recently playing a D&D 5e campaign, and we came across what appeared to be a newly born dragon. Being a Dragonborn character, I thought "Hey, it'd be cool if I had a dragon mount, right?". After having suggested the idea, I was quickly shut down by laughter, and other such general responses suggesting the idea was foolish and was bound to fail.

At the time, it merely was just an idea, as I am uncertain how I would need to go about it, or what I would need to effectively tame a creature for it to become my mount. I am currently only level 3, and only have a short list of available skills, so I doubt that I would have any of the necessary skills/resources to complete the task.

So what skills/stats/equipment might I need to successfully tame a wild beast? (Obviously it would be dependant on the type of mount to determine the level of the skill)