Physical Law and Solutions
: A
physical law
(e.g.,
general relativity
) is usually expressed mathematically by a
differential equation
or a set of coupled (i.e., interacting)
differential equations
(e.g., the
Einstein field equations
) which are what is eternally true at every point (within the
physical law's
realm of validity). The application of the
differential equation(s)
to particular
systems
are solutions of the
differential equation(s)
. Exact
analytic solutions
are those you can just write down as
formulae
(e.g., the
Schwarzschild solution
to the
Einstein field equations
). Other kinds of solutions are approximate (by
perturbation theory
or otherwise) or are obtained by
numerical methods
on the
computer
.
Local file:
local link: physical_law_solution.html
.
File:
Physics file
:
physical_law_solution.html
.