  Motion of a charged particle in uniform magnetic field has been studied in
detail, classically as well as quantum mechanically. However, classical
dynamics of a charged particle in non-uniform magnetic field is solvable only
for some specific cases. We present in this paper, a general integral equation
for some specific class of non-uniform magnetic field and its solutions for
some of them. We also examine the supersymmetry of Hamiltonians in
exponentially decaying magnetic field with radial dependence and conclude that
this kind of non-uniformity breaks supersymmetry.
