Laplace Transform: First Shifting Theorem

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I calculate the Laplace transform of a particular function via the "first shifting theorem". This video may be thought of as a basic example. The first shifting theorem is a useful tool when faced with the challenge of taking the Laplace transform of the product of exponential function with another function. The Laplace transform is very useful in solving ordinary differential equations.

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I was trying to understand my lecture recordings for like over half an hour, and you explained all of it in less than 5 minutes, thank you

bradley

for 2009 the quality is too helping me in 2023 its that good dr.

thakur_omkar

Dr.Tisdell, thank you so much I was literally pulling my hair out to figure out what to do and your simple lecture helped me out! You should teach more!! You're an awesome teacher!

outcast

I hope your realise just how BRILLIANT you are. Not just because you're a mathematician but BRILLIANT as a unique individual who has the gift of teaching. Thank you

jdmc

Wow I learned more in 8 Minutes than my entire 3 hour lecture at school. I should send this to my professor. Maybe he'll learn a thing or 2.

TheFlamhead

Your explanations and general enthusiasm completely humuliate any lecturer I have come across so far in England; and I attend a top University (Imperial College London). Thankyou so much

habituallinestepper_

thank you so much. I just don't understand why university lecturers find it so hard to explain things as simply as you just did.

jordanmckful

thank u Dr. !! FINALLY I UNDERSTAND HOW TO USE THE 1st shift theorem !! thanks a lot for the clear explanation !

sarahcyunk

your handwriting is intoxicating; i like the aesthetic of the whiteboard

cryptoparadoxx

God bless you for posting these videos! You're helping people all over the world. I'm watching these in Minneapolis, Minnesota. Thanks again for your generosity. I hope I can also share knowledge with others in this way someday.

MacGruberFan

Thank you Dr Tisdell. Well explained. I understood everything clearly.

eesaarashid

Hi Neil! If I understand you correctly, then I think you're saying that a better solution method would be to substitute $e^{2x} \cos 3x$ straight into the integral and then do some algebra on the exponents to show that $F(s-2)$ is required? If so, then that would suffice! Thanks for commenting.

DrChrisTisdell

Great! Glad you enjoyed it and hope you also find my free ebook useful. The link is in the description.

DrChrisTisdell

every university professor could learn a thing or two from you. keep up the informative videos, they are awesome! one suggestion, leave the video on the final solution for a bit so we can pause it and look over the solution. great stuff, thanks!

iamcanadian

Thanks very much, , am a student of chemical engineering in Uganda and l had a challenge with the first shifting theorem but now l understand it better...

joelonyango

very helpful- just about to do a little test on Laplace that counts for a massive 2% of my degree, this helped straighten things out alot (my maths professor is Russian, very thick accent) thanks again.

RoguePlank

As I was solving this a couple of seconds a head of you I suddenly gasped at all the inversion of laplace problems I failed at that were all first shifting theorems and I had no idea! thanks for the video

arianabedi

Thank you Dr.Tisdell. I envy your intelligence, once a DJ, now a maths professor. I guess being envious is ok when reflected for good cause :) UWS Parramatta student

lfcforever

you saved me man just before my final exam in 6 hours i finally get it i hope the best for you 😍😍

omarzammari

Glad you enjoyed this, Thomas. Thre are many more examples in my free ebook - the link is in the description.

DrChrisTisdell

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