You can’t eliminate it properly without meds or at least therapy, most of the time. However, there are things you can do to make yourself get better.
E.G for anxiety and panic attacks, avoid “triggers”. You’ll notice you panic when certain things are around. You may think “Oh, gosh, I don’t want to die.” and panic about death (which is pretty common), but this might happen when you are in really strong winds, for example. Strong winds could be your trigger. That was a bad example, but you get what I mean?
Depression, you need to… take your mind off it. Hang out with friends. Take in a hobby. Get a pet. Write. Draw. Express yourself. Throw eggs off tall buildings.
Vent in any way you can, keep your mind off the sadness in any way you can, and it will lessen.