Transcription of Differential Equations I
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Differential Equations IMATB44H3 FVersion September 15, 2011-1949iiContents1 Preliminaries.. Sample Application of Differential Equations ..22 First Order Ordinary Differential Separable Equations .. Exact Differential Equations .. Integrating Factors.. Linear First Order Equations .. Substitutions.. Bernoulli Equation.. Homogeneous Equations .. Substitution to Reduce Second Order Equations to FirstOrder..203 Applications and Examples of First Orderode Orthogonal Trajectories.. Exponential Growth and Decay.. Population Growth.. Predator-Prey Models.. Newton s Law of Cooling.
Chapter 1 Introduction 1.1 Preliminaries Definition (Differential equation) A differential equation (de) is an equation involving a function and its deriva-
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SYSTEMS OF LINEAR EQUATIONS AND, Equations, Linear Equations and Matrices, Cubic equations, 23. Fresnel Equations, Fresnel Equations, Solving Systems of Equations Algebraically Examples, Solving Systems of Equations Algebraically, EMC Formulas, Useful Motor/Torque Equations for EML2322L, Vibration, Vibration Equations