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How To Solve Inverse Laplace transform Using Completing the Square 

AVITECHNOLOGIES
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Solving Inverse Laplace Transform With Completing The Square.
In mathematics, the Laplace transform, named after its discoverer Pierre-Simon Laplace, is an integral transform that converts a function of a real variable (usually t, in the time domain) to a function of a complex variable s (in the complex frequency domain, also known as s-domain, or s-plane).
The transform has many applications in science and engineering because it is a tool for solving differential equations. In particular, it transforms ordinary differential equations into algebraic equations and convolution into multiplication. For suitable functions f, the Laplace transform is defined in this video.
In this video, we are going to solve the inverse Laplace Transform using partial fraction and completing the square.
#laplace_transformations
#laplacetransformation
#inverselaplacetransform
#inverselaplace
#completingthesquare
#avitechmaths
#avitechnologies
#engineeringmathematics
#advancedengineeringmathematics

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13 окт 2024

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Комментарии : 15   
@haggaisikazwe7215
@haggaisikazwe7215 Месяц назад
Awesome ❤
@siphokunene8612
@siphokunene8612 6 месяцев назад
I am speechless 🎉!
@samuelkamtande7579
@samuelkamtande7579 5 месяцев назад
Beautiful
@AVITECHNOLOGIES
@AVITECHNOLOGIES 4 месяца назад
Thanks
@NabifoVivian-ez5gt
@NabifoVivian-ez5gt 20 дней назад
The best ever
@NabifoVivian-ez5gt
@NabifoVivian-ez5gt 20 дней назад
Dirac Delta functions and Fourier transform numerical analysis are the tutorials been looking for but unfortunately am not seeing them,
@Williams_Workshop
@Williams_Workshop Месяц назад
Hey good video, the first part helped.
@AVITECHNOLOGIES
@AVITECHNOLOGIES Месяц назад
@@Williams_Workshop Thanks
@diesti6880
@diesti6880 7 месяцев назад
What if the numerator has 3 number i.e 7s² - 18s - 7/ (s - 4) ( 2s² - 6s + 3)
@AVITECHNOLOGIES
@AVITECHNOLOGIES 7 месяцев назад
That's not a problem, the numerator doesn't even much effect on how it's solved. Just know how to compare coefficients. I'm sure you can see a problem like this sort in my videos. As for using completing the square; 2s² - 6s + 3 = 2( s²- 3s + 3/2 ) 2s² - 6s + 3 = 2{ s² - 3s + (-3/2)² - (-3/2)² + 3/2 } 2s² - 6s + 3 = 2 { (s - 3/2)² - 9/4 + 3/2 } 2s² - 6s + 3 = 2 { (s - 3/2)² - 3/4 } 2s² - 6s + 3 = 2 { (s - 3/2)² - (√3/2)² } See my playlist on Laplace transform.
@davechristian6048
@davechristian6048 Месяц назад
Boss please make a video on this s+2/(s+1)(s²+s+1) I tried it but its seems confusing
@AVITECHNOLOGIES
@AVITECHNOLOGIES Месяц назад
I'm sorry, I am no longer making videos on RU-vid.
@evwerenisaacoghenenyerhovw232
@evwerenisaacoghenenyerhovw232 Месяц назад
Why sir
@AVITECHNOLOGIES
@AVITECHNOLOGIES Месяц назад
@@evwerenisaacoghenenyerhovw232 I lost my Monetisation and I've not been able to get paid on RU-vid for a year Now.
@evwerenisaacoghenenyerhovw232
@evwerenisaacoghenenyerhovw232 Месяц назад
@@AVITECHNOLOGIES sorry sir but can I have ur number.. I may need your help in my 300 level like in engineering maths courses or others Please cos your channel has actually helped me alot