The ODE below models a spring, mass, dashpot system with damping constant c\displaystyle {c}, spring constant k\displaystyle {k} and mass 3.1 (kg).

x+6x+2x\displaystyle {x}{''}+{6}{x}'+{2}{x} = 0

Find the constants, c\displaystyle {c} and k\displaystyle {k}.

c\displaystyle {c} =   kgs\displaystyle \frac{{{k}{g}}}{{s}}

k\displaystyle {k} =   kgs2\displaystyle \frac{{{k}{g}}}{{s}^{{2}}}