ABSTRACT
Application of Lagrange’s equations to the lagrangian of a mechanical system
results in a differential equation, or a set of differential equations whose
solution is the system response. Application of Lagrange’s equations to a
discrete system leads to a set of ordinary differential equations, while
application of Lagrange’s equations to a distributed parameter system leads
to partial differential equations. Mathematical methods are employed to
determine the solution of the equations, and hence the system response.
