Systems of Linear Differential Equations

Abstract

In Chap.5 systems of first-order differential equations are studied. For low-dimensional systems, elimination techniques using the D operator and Laplace transforms are presented. For larger systems, the matrix-vector notation is used and the solution of the homogeneous system is represented on the basis of the eigenvalues of the corresponding characteristic equation. For the determination of a particular solution of the inhomogeneous system, the method of variation of constants and the method of undetermined coefficients are described.