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Dr. Mathaholic
Laplace Transforms-Chapter 6 from book by Kreyszig.
29,831 views
20 items
Last updated on Mar 31, 2022
public playlist
Dr. Mathaholic
7:57
Session 1: What are Laplace Transforms? Linearity property of Laplace transforms.
Dr. Mathaholic
10:56
Session 2: Plenty of Examples on Laplace Transforms (see pinned comment)
Dr. Mathaholic
5:03
Session 3: Laplace inverse is linear whereas Laplace inverse doesn't behave nicely with product.
Dr. Mathaholic
10:50
Session 4: Concept and examples on functions of exponential growth / order. (See pinned comment)
Dr. Mathaholic
8:36
Session 5:When does Laplace of a function exist? A counterexample to existence theorem of Laplace.
Dr. Mathaholic
3:58
Session 6: Laplace of 1/square root(t) exist but it is not piecewise continuous. Counterexample!!!
Dr. Mathaholic
18:09
Session 7: Uniqueness of Laplace Transforms and Laplace inverse( see pinned comment).
Dr. Mathaholic
6:43
Session 8: First Shifting Theorem in Laplace Transforms--Statement and examples.
Dr. Mathaholic
4:40
Session 9: What is Laplace of f(at) if Laplace of f(t) is known!! (see pinned comment)
Dr. Mathaholic
13:04
Session 10: Laplace Transforms to solve differential equations (Initial Value Problem)
Dr. Mathaholic
12:37
Session 11: Laplace transform to solve differential equations if INITIAL condition is NOT given at 0
Dr. Mathaholic
7:16
Session 12: Laplace Transform of INTEGRATION of a function. Examples of Laplace and inverse Laplace.
Dr. Mathaholic
17:32
Session 13: Unit Step function examples and how to express a function in terms of unit step function
Dr. Mathaholic
10:54
Session 14:Laplace of Unit step function, Second shifting theorem with examples (see pinned comment)
Dr. Mathaholic
27:14
Session 15:Dirac Delta(Impulse) function. Proof of properties like derivative, integration & Laplace
Dr. Mathaholic
11:07
Session 16: Convolution Theorem. Laplace and Laplace inverse examples using convolution
Dr. Mathaholic
3:35
Session 17: Solution to Voltera Integral equation using Laplace transform and convolution theorem.
Dr. Mathaholic
8:26
Session 18: What are periodic functions with examples & Laplace of periodic functions with examples.
Dr. Mathaholic
9:32
Session 19:Laplace of t^nf(t) is derivative of Laplace of given function f(t) (duality principle).
Dr. Mathaholic
6:55
Session 20: Laplace Transform of f(t)/t. Integration of Laplace Transforms (Duality principle)
