Session 13: Unit Step function examples and how to express a function in terms of unit step function

Опубликовано: 30 Апрель 2026
на канале: Dr. Mathaholic
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In this video, we will see what do you mean by Unit Step function at t=0. Then we will see how to rewrite if we translate on the right or left side on t-axis. Then we will see examples to understand the concept.
We will also see how to write a piecewise continuous function in terms of unit step function i.e., we will see how unit step function will help us to write a piecewise continuous function in one line.
At the end we will see how unit step function helps us to translate a function.

In the next session, I will talk on how to find Laplace of a unit step function and then we will see second shifting theorem as well.


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Links for previous lectures:
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Laplace of derivatives:
   • Session 11: Laplace transform to solve dif...  

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Laplace of Integration

   • Session 12: Laplace Transform of INTEGRATI...  
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The derivative of Laplace i.e., Laplace of t^n f(t)

   • Session 19:Laplace of t^nf(t) is derivativ...  
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Existence Theorem of Laplace transforms

   • Session 5:When does Laplace of a function ...  
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What are Laplace transforms:

   • Session 1: What are Laplace Transforms? Li...  
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Examples on Laplace Transforms:

   • Session 2: Plenty of Examples on Laplace T...  
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Exponential growth : Concept and Examples:

   • Session 4: Concept and examples on functio...  
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