A particle of mass m is in a force field described by the
equation,
F(x) = bx
Here b is a positive constant. At t = 0, the particle is
released from the origin (x0 = 0) with an initial
velocity V0
a) Build a differential equation, and use a 'trial solution' to
find the position of the particle as a function of time, x(t)
b) Use the 'separating variables and integration' method to find
x(t)