## Course: Differential EquationsDnatube

#### GMAT Data Sufficiency 41

154-155, pg.290 GMAT Data Sufficiency 41

#### Lec - 1 What is a differential equation

What is a differential equation What a differential equation is and some terminology.

#### Lec 2 - Separable Differential Equations

Separable Differential Equations Introduction to separable differential equations.

#### Lec 3 - Separable differential equations 2

Separable differential equations 2 Another separable differential equation example.

#### Lec 4 - Exact Equations Intuition 1 (proofy)

Exact Equations Intuition 1 (proofy) Chain rule using partial derivatives (not a proof; more intuition).

#### Lec 5 - Exact Equations Intuition 2 (proofy)

Exact Equations Intuition 2 (proofy) More intuitive building blocks for exact equations.

#### Lec 6 - Exact Equations Example 1

Exact Equations Example 1 First example of solving an exact differential equation.

#### Lec 7 - Exact Equations Example 2

Exact Equations Example 2 Some more exact equation examples

#### Lec 8 - Exact Equations Example 3

Exact Equations Example 3 One more exact equation example

#### Lec 9 - Integrating factors 1

Integrating factors 1 Using an integrating factor to make a differential equation exact

#### Lec 10 - Integrating factors 2

Integrating factors 2 Now that we've made the equation exact, let's solve it!

#### Lec 11 - First order homegenous equations

First order homegenous equations Introduction to first order homogenous equations.

#### Lec 12 - First order homogenous equations 2

First order homogenous equations 2 Another example of using substitution to solve a first order homogeneous differential equations.

#### Lec 13 - 2nd Order Linear Homogeneous Di ...

2nd Order Linear Homogeneous Differential Equations 1 Introduction to 2nd order, linear, homogeneous differential equations with constant coefficients.

#### Lec 14 - 2nd Order Linear Homogeneous Di ...

2nd Order Linear Homogeneous Differential Equations 2 Let's find the general solution!

#### Lec 15 - 2nd Order Linear Homogeneous Di ...

2nd Order Linear Homogeneous Differential Equations 3 Let's use some initial conditions to solve for the particular solution

#### Lec 16 - 2nd Order Linear Homogeneous Di ...

2nd Order Linear Homogeneous Differential Equations 4 Another example with initial conditions!

#### Lec 17 - Complex roots of the characteri ...

Complex roots of the characteristic equations 1 What happens when the characteristic equations has complex roots?!

#### Lec 18 - Complex roots of the characteri ...

Complex roots of the characteristic equations 2 What happens when the characteristic equation has complex roots?

#### Lec 19 - Complex roots of the characteri ...

Complex roots of the characteristic equations 3 Lets do an example with initial conditions!

#### Lec 20 - Repeated roots of the character ...

Repeated roots of the characteristic equation What happens when the characteristic equation only has 1 repeated root?

#### Lec 21 - Repeated roots of the character ...

Repeated roots of the characterisitic equations part 2 An example where we use initial conditions to solve a repeated-roots differential equation.

#### Lec 22 - Undetermined Coefficients 1

Undetermined Coefficients 1 Using the method of undetermined coefficients to solve nonhomogeneous linear differential equations.

#### Lec 23 - Undetermined Coefficients 2

Undetermined Coefficients 2 Another example using undetermined coefficients.

#### Lec 24 - Undetermined Coefficients 3

Undetermined Coefficients 3 Another example where the nonhomogeneous part is a polynomial

#### Lec 25 - Undetermined Coefficients 4

Undetermined Coefficients 4 Putting it all together!

#### Lec 26 - Laplace Transform 1

Laplace Transform 1 Introduction to the Laplace Transform

#### Lec 27 - Laplace Transform 2

Laplace Transform 2 Laplace transform of e^at

#### Lec 28 - Laplace Transform 3 (L{sin(at)})

Laplace Transform 3 (L{sin(at)}) Laplace Transform of sin(at) (part 1)

#### Lec 29 - Laplace Transform 4

Part 2 of getting the Laplace transform of sin(at)

#### Lec 30 - Laplace Transform 5

Laplace Transform 5 Useful properties of the Laplace Transform

#### Lec 31 - Laplace Transform 6

Laplace Transform 6 Laplace transform of cosine and polynomials!

#### Lec 32 - Laplace Transform to solve an e ...

Laplace Transform to solve an equation Using the Laplace Transform to solve an equation we already knew how to solve.

#### Lec 33 - Laplace Transform solves an equ ...

Laplace Transform solves an equation 2 Second part of using the Laplace Transform to solve a differential equation.

#### Lec 34 - More Laplace Transform tools

More Laplace Transform tools A grab bag of things to know about the Laplace Transform.

#### Lec 35 - Using the Laplace Transform to ...

Using the Laplace Transform to solve a nonhomogenous eq Solving a non-homogeneous differential equation using the Laplace Transform

#### Lec 36 - Laplace Transform of : L{t}

Laplace Transform of : L{t} Determining the Laplace Transform of t

#### Lec 37 - Laplace Transform of t^n: L{t^n}

Laplace Transform of t^n: L{t^n} Laplace Transform of t^n: L{t^n}

#### Lec 38 - Laplace Transform of the Unit S ...

Laplace Transform of the Unit Step Function Introduction to the unit step function and its Laplace Transform

#### Lec 39 - Inverse Laplace Examples

Inverse Laplace Examples Using our toolkit to take some inverse Laplace Transforms

#### Lec 40 - Laplace/Step Function Different ...

Laplace/Step Function Differential Equation Hairy differential equation involving a step function that we use the Laplace Transform to solve.

#### Lec 41 - Dirac Delta Function

Dirac Delta Function Introduction to the Dirac Delta Function

#### Lec 42 - Laplace Transform of the Dirac ...

Laplace Transform of the Dirac Delta Function Figuring out the Laplace Transform of the Dirac Delta Function

#### Lec 43 - Introduction to the Convolution

Introduction to the Convolution Introduction to the Convolution

#### Lec 44 - The Convolution and the Laplace ...

The Convolution and the Laplace Transform Understanding how the product of the Transforms of two functions relates to their convolution.

#### Lec 45 - Using the Convolution Theorem t ...

Using the Convolution Theorem to solve an initial value problem

#### Differential Equations

Source of these courses is khan
Topics covered in a first year course in differential equations. Need to understand basic differentiation and integration from Calculus playlist before starting here.
khan  Website: http://www.dnatube.com/school/khan

#### khan

Videos are obtained from khan
COURSE NAME: Differential Equations