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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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Notes on Differential Equations
Robert E. Terrell
Robert E. Terrell
Table of Contents
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
Note: When you open MultiHost link below to MultiHost you can find 4 file hosting sites links in which you can download with your desired hosting site
Click Here To Download
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