Laplace Transform: Second Shifting Theorem

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I calculate the Laplace transform of a particular function via the "second shifting theorem". This video may be thought of as a basic example. The second shifting theorem is a useful tool when faced with the challenge of taking the Laplace transform of the product of a shifted unit step function (Heaviside function) with another shifted function. The Laplace transform is very useful in solving ordinary differential equations. Such an example is seen in 2nd year mathematics courses at university.
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honestly words may fail to express how thankful i am for this kid of explanation, you're simply the of all lectures have seen on this topic

kaomachileshe
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Honestly out of 20 tutorials ive seen on this subject you were the only who explained understandable

aaronbarragan
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Good luck with Laplace transforms. You can find more in my new ebook. The free download link is in the description.

DrChrisTisdell
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Thanks. If you enjoyed this video the you might also like my new and free ebook, which has many more examples. It is freely available from bookboon.com (the link is on my YT channel).

DrChrisTisdell
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I never usually comment under a YouTube vid for math but omg after so many countless videos, this is literally the only video that breaks down on how to use the second shifting thm. THANK YOU SO MUCH!!!

litzymejia
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These 8 minutes cleared up 2 hours of trying to understand the textbook. Thank You!

ryanpurvis
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Thank you so much. It's people such as yourself who give their time to make tutorial videos that are helping me get through my degree.

kadinmorse
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Thank you! You might also like my new and free ebook, which has many more examples. It is freely available from bookboon.com (the link is on my YT channel).

DrChrisTisdell
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Hey Dr Chris,

I am a second year aerospace student in England and this has helped to clear things up!

Thank you for this!

xXDrazicXx
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I love you man, i had zero idea how to do this and now i feel really good about it. youre website and videos helped me out a lot. i appreciate it

jferro
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It's been 14 years of this video I'm been helped by this today I'm passed today because of this, thanks brother ❤️ keep going

aswinxi-b
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Dr. Tisdell, your explanation is really great. My professor is also good but your method is crystal clear. Thank you for helping so many like me.

mono
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Glad you found this useful. You might also like to check out my new ebook, which is something I am experimenting with. The free download link is in the description.

DrChrisTisdell
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Great video, really got me going again while studying for the Fundamentals of Engineering exam. Thank you!

electriciansmate
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H Neil - great to hear from you again! I'm sure that you could prove the SST if you wanted to. The proof just relies on a simple substitution for $(t-a)$ in the integrand.

DrChrisTisdell
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You are brilliant! I had been sitting here clueless, staring at my homework trying to make sense of all this and NOW I get it! Thank you, thank you, thank you! <3

Wakeupfishy
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i was getting scared on hearing the name "LAPLACE TRANSFORM" ... wow... but now.. i am loving it ... all because of you sir .. thanks a lot

augustin
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Dr Tisdell,

Thank you very much for this very clear and practical guide! your efforts are not in vein.

macchesney
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Hi Farahsho: This video is a really simple example. The more invovled transfrom problems are (a) more time consuming; and (b) take up more board space. Thus, it is not always possible to "fit" a detailed solution and explanation into a short video (espcially with Fourier series) - but I'll try!

DrChrisTisdell
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awesome lecture.. you sir are one the lecturer's i have seen who teaches with a smile...

angkatanpw