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1 INTRODUCTION TO DIFFERENTIAL EQUATIONS

11 INTRODUCTION TO and EQUATIONS as Mathematical ModelsCHAPTER 1 IN REVIEWThe words differentialandequationscertainly suggest solving some kind ofequation that contains derivatives y ,y , .. Analogous to a course in algebra andtrigonometry, in which a good amount of time is spent solving EQUATIONS such asx2 5x 4 0 for the unknown number x, in this course oneof our tasks will beto solve DIFFERENTIAL EQUATIONS such as y 2y y 0 for an unknown functiony (x).The preceding paragraph tells something, but not the complete story, about thecourse you are about to begin.

1.3 Differential Equations as Mathematical Models CHAPTER 1 IN REVIEW The words differential and equations certainly suggest solving some kind of equation that contains derivatives y, y, . . . . Analogous to a course in algebra and trigonometry, in which a good amount of time is spent solving equations such as

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