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FIRST-ORDER ORDINARY DIFFERENTIAL EQUATIONS II: Graphical and Numerical Methods David Levermore Department of Mathematics University of Maryland 29 January 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. Contents 5. First-Order Equations: General Theory 5.1. Well-Posed Problems 2 5.2. Existence and Uniqueness 3 6. First-Order Equations: Gr