chapter  7
30 Pages

Eigenvalues and Dierential Equations

This chapter contains the eigenvalue and eigenvector approach to solving linear systems of dierential equations. This is a generalization of the simple single dierential equation {0 = d{+ i to a system x0 = Dx+ f where D is a matrix and x a column vector of unknown functions of time. Applications will include time dependent mixing tanks and heat conduction.