  We consider the modified Emden equation (MEE) and introduce its most general
solution, using the most general solution for the simple harmonic oscillator's
linear dynamical equation (i.e., the initial conditions shall be identified by
the PDM-MEE problem at hand) . We use a general nonlocal point transformation
and show that modified Emden dynamical equation is transformed to describe
position-dependent mass (PDM) classical particles. Two PDM-MEE-type classical
particles are used as illustrative examples, and their exact solutions are
reported. Under specific parametric considerations, the phase-space
trajectories are reported for the MEE-type and for PDM-MEE-type classical
particles.
