I am currently taking a course on electrodynamics. The last few lectures have been about relativistic electrodynamics (Lorentz transformation of four-vectors, electromagnetic field tensor, etc.). This is on the level of Griffiths' Introduction to Electrodynamics.
I've been making the exercises of "Griffiths - Introduction to Electrodynamics" but I often find myself stuck, without a clear idea of how to solve a problem.
My question is the following: what are some good sources to build intuition for problem solving in relativistic electrodynamics? And what are good things/formulas to memorise for these kind of problems?
Here is a sample problem which I find hard to solve (although it's more relativistic dynamics then electrodynamics). It is taken from Griffiths' chapter on Relativistic Electrodynamics.
Find x as function of t for motion starting from rest at the origin under the influence of a constant Minkowski force in the x direction. Leave your answer in implicit form (t as a function of x).
My approach to solving it was setting the derivative to proper time of the relativistic proper momentum equal to a constant (in the x direction, that is), but that resulted in quite a mess.