This article is going to show you how to solve basic different equations. For the sake of simplicity, I will just show an example here first.
Question: Find a non-constant solution for (x')2+x2=4.
From the solution above, we can summerize what the steps are. First, move the x, dx to one side, t and/or dt to the other side. Make the format look "good" so that you can do the integral conviniently.Then just evauluate the integral, and simplify if necessary.