 Differential Equations I

Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus before starting here.

Begin Course
 University Khan Academy Professor Salman Khan Lectures 45 Lectures
 University Khan Academy Professor Salman Khan Lectures 45 Lectures
WATCH NEXT IN DIFFERENTIAL EQUATIONS I Lecture 1

Introduction to differential equations Lecture 2

Separable Differential Equations Lecture 3

Separable differential equations 2 Lecture 4

Exact Equations Intuition 1 (proofy) Lecture 5

Exact Equations Intuition 2 (proofy) Lecture 6

Exact Equations Example 1 Lecture 7

Exact Equations Example 2 Lecture 8

Exact Equations Example 3 Lecture 9

Integrating factors 1 Lecture 10

Integrating factors 2 Lecture 11

First order homegenous equations Lecture 12

First order homogenous equations 2 Lecture 13

2nd Order Linear Homogeneous Differential Equations 1 Lecture 14

2nd Order Linear Homogeneous Differential Equations 2 Lecture 15

2nd Order Linear Homogeneous Differential Equations 3 Lecture 16

2nd Order Linear Homogeneous Differential Equations 4 Lecture 17

Complex roots of the characteristic equations 1 Lecture 18

Complex roots of the characteristic equations 2 Lecture 19

Complex roots of the characteristic equations 3 Lecture 20

Repeated roots of the characteristic equation Lecture 21

Repeated roots of the characterisitic equations part 2 Lecture 22

Undetermined Coefficients 1 Lecture 23

Undetermined Coefficients 2 Lecture 24

Undetermined Coefficients 3 Lecture 25

Undetermined Coefficients 4 Lecture 26

Laplace Transform 1 Lecture 27

Laplace Transform 2 Lecture 28

Laplace Transform 3 (L{sin(at)}) Lecture 29

Laplace Transform 4 Lecture 30

Laplace Transform 5 Lecture 31

Laplace Transform 6 Lecture 32

Laplace Transform to solve an equation Lecture 33

Laplace Transform solves an equation 2 Lecture 34

More Laplace Transform tools Lecture 35

Using the Laplace Transform to solve a nonhomogenous eq Lecture 36

Laplace Transform of _ L{t} Lecture 37

Laplace Transform of t_n_ L{t_n} Lecture 38

Laplace Transform of the Unit Step Function Lecture 39

Inverse Laplace Examples Lecture 40

Laplace_Step Function Differential Equation Lecture 41

Dirac Delta Function Lecture 42

Laplace Transform of the Dirac Delta Function Lecture 43

Introduction to the Convolution Lecture 44

The Convolution and the Laplace Transform Lecture 45

Using the Convolution Theorem to Solve an Initial Value Prob