“Give it a try on your own.”
You're training a new employee at your company. You're showing him how to use one of the company's software applications. You've finished explaining it, so you want him to try to use it by himself.
Give it a try on your own.
"Give it a try" just means "try it", but sounds a little more casual:
Give it a try. I think you'll like it.
OK, I'll give it a try.
You can use this phrase to talk about all different kinds of experiences and decisions.
Doing something "on your own" means doing it without help from other people.
I remember the first time I was able to drive on my own, I was so excited!
This is a positive-sounding phrase.