Course: Differential Equations Dnatube
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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
Laplace transform of cosine and polynomials
Laplace Transform 6 Learn more: http://www.khanacademy.org/video?v=fyJkXBvcA2Q Laplace transform of cosine and polynomials!
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
