In 1 and 2, use the definition of the Laplace transform to determine

HIGHER-ORDER LINEAR ORDINARY DIFFERENTIAL EQUATIONS I: Introduction and Homogeneous Equations David Levermore Department of Mathematics University of Maryland 12 March 2012 Because the presentation of this material in lecture will diﬀer from that in the book, I felt that notes that closely follow the lecture presentation might be appreciated. 1. Introduction 1.1. Normal Form and Solutions 2 1.2. Initial Value Problems 2 1.3. Intervals of Deﬁnition 4 2. Homogeneous