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Notes on Differential Equations E Book Free Download

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Notes on Differential Equations
Robert E. Terrell


Table of Contents 

1 Introduction to Ordinary Differential Equations

2 A Gallery of Differential Equations

3 Introduction to Partial Differential Equations

4 The Logistic Population Model

5 Separable Equations

6 Separable Partial Differential Equations

7 Existence and Uniqueness and Software

8 Linear First Order Equations

9 [oiler’s] Euler’s Numerical Method

10 Second Order Linear Equations

11 The Heat Equation

12 Complex Numbers and the Characteristic Equation

13 Forced Second Order

14 Systems of ODE’s, part 1

15 Systems of ODE’s, part

16 Linear Algebra, part 1

17 Linear Algebra, part 2

18 Linear Algebra, part 3

19 Linear Algebra, part 4

20 More on the Determinant

21 Linear Differential Equation Systems

22 Systems with Complex Eigenvalues

23 Classification Theorem for Linear Plane Systems

24 Nonlinear Systems in the Plane

25 Examples of Nonlinear Systems in 3 Dimensions

26 Boundary Value Problems

27 The Conduction of Heat

28 Solving the Heat Equation

29 More Heat Solutions

30 The Wave Equation

31 Beams and Columns

32 Power Series

33 More on Power Series

34 Power Series used: A Drum Model

35 A new Function for the Drum model, J0

36 The Euler equation for Fluid Flow, and Acoustic Waves

37 Exact equations for Air and Steam

38 The Laplace Equation

39 Laplace leads to Fourier

40 Fourier’s Dilemma

41 Fourier answered by Orthogonality

42 Uniqueness

43 selected answers and hints



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