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ELEMENTARY DIFFERENTIAL EQUATIONS

ELEMENTARY DIFFERENTIAL . EQUATIONS . William F. Trench Andrew G. Cowles Distinguished Professor Emeritus Department of Mathematics Trinity University San Antonio, Texas, USA. This book has been judged to meet the evaluation criteria set by the Edi- torial Board of the American Institute of Mathematics in connection with the Institute's Open Textbook Initiative. It may be copied, modified, re- distributed, translated, and built upon subject to the Creative Commons Attribution-NonCommercial-ShareAlike Unported License. FREE DOWNLOAD: STUDENT SOLUTIONS MANUAL.

2 Chapter1 Introduction 1.1 APPLICATIONSLEADING TO DIFFERENTIALEQUATIONS In ordertoapplymathematical methodsto a physical or“real life”problem, we must formulatethe prob-lem in mathematical terms; that is, we must construct a mathematical model for the problem. Many physical problems concern relationships between changing quantities.

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