Lectures

Introduction to Differential Equations

First Order Linear

Separable Equations

Existence and Uniqueness

Transformations Part I: Bernoulli

Transformations Part II: Nonlinear Homogeneous and Others

Exact Equations

First Order Autonomous

First Order Applications, Part I

First Order Applications, Part II

2nd Order Linear Homogeneous & the Wronskian

2nd Order Linear Homogeneous Constant Coefficient

2nd Order Linear Nonhomogeneous

Undetermined Coefficients, Part I

Undetermined Coefficients, Part II

Reduction of Order

Euler Equations

Variation of Parameters

2nd Order Applications, Part I (Springs)

2nd Order Applications, Part II (Circuits)

Laplace Transforms

Inverse Laplace Transforms

IVP solutions with Laplace Transforms

IVPs with Piecewise Continuous Forcing Functions

IVPs with Impulses

Convolution

Euler’s Method

Appendix: Table of Laplace Transforms

Exemplars

Exemplar Examples 1

Exemplar Examples 2

Exemplar Examples 3

Exemplar Examples 4

Exemplar Examples 5

Exemplar Examples 6

Exemplar Examples 7

Exemplar Examples 8

Exemplar Examples 9

Exemplar Examples 10

Exemplar Examples 11

Exemplar Examples 12

Exemplar Examples 13

Exemplar Examples 14

Exemplar Examples 15

Exemplar Examples 16

Exemplar Examples 17

Exemplar Examples 18

Exemplar Examples 19

Exemplar Examples 20

Exemplar Examples 21

Exemplar Examples 22

Exemplar Examples 23

Exemplar Examples 24

Exemplar Examples 25

Recitation Labs

Lab 1 - First Order Linear &Separable

Lab 2 - Transformations

Lab 3 - Lin. Homog. and Wronskian (incl. 3rd Order & Higher)

Lab 4 - Undetermined Coefficients

Lab 5 - Variation of Parameters

Lab 6 - Laplace Transforms

Lab 7 - Convolution

Activities

Class Discussion Activity 1

Class Discussion Activity 2

Class Discussion Activity 3

Class Discussion Activity 4

Class Discussion Activity 5

Class Discussion Activity 6

Class Discussion Activity 7

Class Discussion Activity 8

Class Discussion Activity 9

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Class Discussion Activity 11

Class Discussion Activity 12

Class Discussion Activity 13

Class Discussion Activity 14

Class Discussion Activity 15

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Class Discussion Activity 17

Class Discussion Activity 18

Class Discussion Activity 19

Class Discussion Activity 20

Class Discussion Activity 21

Class Discussion Activity 22

Class Discussion Activity 23

Class Discussion Activity 24

Class Discussion Activity 25

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