Laplace Transform: Translation Theorem in s

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Laplace transform property: Translation Theorem of Laplace Transform, namely L{e^(at)f(t)}

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i saw so many other video but i swear this is the best, i love all ur teaching videos

dvsr
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you are now my favourite math tutor sir

scoops
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I get confused when blackpenredpen uses blue pen. Other than that, keep up the good work!

JayLikesLasers
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At 3:58 the legendary technique was shown

rickybrambila
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plz put all laplace sums in a playlist and this for all topics .
thank u
awesome teacher:)

vk
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Thanks man! You're seriously the GOAT for math videos.

Alex-gwet
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Which of the following sequences could represent the impulse response of a stable discrete-time system?

k^2

(-0.65)^k
2^k
ksin(k)

knowledges
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However, there is a formula for inverse Laplace transform of product of functions F(s)&G(s), Inverse Laplace (F(s)*G(s)) = integral from 0 to t of f(t-v)*g(v)dv (i.e, convolution of f(t)&g(t)), where F(s) & G(s) are Laplace transforms of f(t) & g(t) respectively

JohnLee-dpey
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you are awesome. I understand this shit because of you. but yeah that cartwheel was the best part in the video. thanks again man. hopefully you do linear algebra sometimes because I'm doing that next semester lol

dannggg
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im paying so much money to go to school and im still learning off of youtube, take my prof 2 hours to poorly try to explain what he did in 10 min

lukeyard
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Hi Steve, do you have a video with the laplace transform differentiation theorem proof?

joelhall
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i wonder how it is possible to do integration by parts with three functions may it can be helpfull to show why there are is no good solution to the Problem L(f(t)g(t))=?. Can you make a proove for my question

areslowenstein
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Good vid. If you want more hits, get 'First Shifting Theorem' in the title (that's what some other books etc refer to it as).

robg
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I belive convolution theorm can be a direct formula to solve this:
L{f(t)g(t)} = F(s)*G(s)
Conversely,
L{f(t)*g(t)} = F(s)G(s)
However, the later form is of more practical usage in analog and digital filter design than the former form.. ☺️

hardikparekh
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my problem L {(1 / a) * e ^ (- bt / a) * f (t / a)}
I could not solve

Leonardo_R.R