DE6: An Application of Second Order Linear DEs with Constant Coefficients

Chapter 14 DE6: An Application of Second Order Linear DEs with Constant Coefficients

Recall that for a function

y = y (x)

a 2nd order linear DE with constant coefficients is a DE of the form

a y^{″} + b y^{'} + c y = f (x)

In previous lectures (i.e. Chapter 12 and Chapter 13) we discussed how to find solutions to DEs of this form (for various possibilities of

f (x)

at least). In this lecture we are going to discuss an application of this type of DE to modelling the vibrations of springs.