Transcription of ORDINARY DIFFERENTIAL EQUATIONS FOR ENGINEERS | …
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ORDINARY DIFFERENTIAL EQUATIONS . FOR ENGINEERS . THE LECTURE NOTES FOR MATH- 263 (2011). ORDINARY DIFFERENTIAL EQUATIONS . FOR ENGINEERS . JIAN-JUN XU. Department of Mathematics and Statistics, McGill University Kluwer Academic Publishers Boston/Dordrecht/London Contents 1. INTRODUCTION 1. 1 De nitions and Basic Concepts 1. ORDINARY Di erential Equation (ODE) 1. Solution 1. Order n of the DE 2. Linear Equation: 2. Homogeneous Linear Equation: 3. Partial Di erential Equation (PDE) 3. General Solution of a Linear Di erential Equation 3. A System of ODE's 4. 2 The Approaches of Finding Solutions of ODE 5. Analytical Approaches 5. Numerical Approaches 5. 2. FIRST ORDER DIFFERENTIAL EQUATIONS 7. 1 Linear Equation 7. Linear homogeneous equation 8. Linear inhomogeneous equation 8. 2 Nonlinear EQUATIONS (I) 11. separable EQUATIONS . 11. Logistic Equation 14. Fundamental Existence and Uniqueness Theorem 16.
1.8 A System of ODE’s 4 2 The Approaches of Finding Solutions of ODE 5 2.1 Analytical Approaches 5 2.2 Numerical Approaches 5 2. FIRST ORDER DIFFERENTIAL EQUATIONS 7 1 Linear Equation 7 1.1 Linear homogeneous equation 8 1.2 Linear inhomogeneous equation 8 2 Nonlinear Equations (I) 11 2.1 Separable Equations. 11 2.2 Logistic Equation 14
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