Laplace Transforms Using the Definition (KristaKingMath)

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Laplace Transforms Using the Definition calculus problem example.

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Hi, I’m Krista! I make math courses to keep you from banging your head against the wall. ;)

Math class was always so frustrating for me. I’d go to a class, spend hours on homework, and three days later have an “Ah-ha!” moment about how the problems worked that could have slashed my homework time in half. I’d think, “WHY didn’t my teacher just tell me this in the first place?!”

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Krista, did you ever know that you're my hero? You are the wind beneath my wings (for math) hahaha. Seriously though, if I don't die from the stress, you will have been an integral part (no pun intended) of me passing Calculus and Differential Equations. Thank you!

Micchapin
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This was incredibly helpful. 10/10 recommend for students just starting to deal with Laplace Transforms.

jaredbecker
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that's awesome!! i'm so glad you like them, and i really hope having them here means you get to spend less time taking and less money paying for your degree! :D

kristakingmath
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This video was incredibly helpful for me with Laplace Transforms. Super helpful, will highly recommend to people who are struggling with this concept in diff eqs.

SuchirBachu-qr
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everything is awesome but background and foreground is much much better than others...
Thanks a lot once again...

zeeshandge
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Evaluating boundary limits really got me, thanks for clearing it up!!! Tremendous help.

icee
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i have a final examination tomorrow and this video helps me sooo much!! THANK YOU <3

fathyasrar
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this is really helpful as being an engineering student ... I'm gonna share you over my friends :) Love the Content :) keep posting stuff!!!

CharanjeetSingh-cwum
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Thank you for the Laplace definition example with the evil trig sub. I hope I don't see it tomorrow on the exam, but if I do you have boost my confidence in understanding; many thanks.

PoohBear
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I love the way you tech math. You are awesome!

MrRifever
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@BillFlann9 You're very welcome! I'm so glad you've found the videos to be helpful and clear. I just want to help as much as I can! :)

kristakingmath
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Great video, I like how you actually show us how you evaluate instead of just saying "we analyze this integral and see that it's = 0". I am working on a problem like this one, except that my f(t) = te^(at). And I have some trouble evaluating the solved integrals as t goes to infinity or zero, because I have terms with e^(a-s)*t. So I'm not sure if the term goes to negative or positive infinity.

Martin-sffw
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Thanks for sharing your tips, and good luck with the tutoring!! :D

kristakingmath
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Hey dear I really like the way you do clearly and understandably. Could you please do the follwing question? I have final Exam on the 20th of this month.
Thanks
A spring with a 3 kg mass attached to it has spring constant 75 N/m and no damping. There
is an external force given by F (t) = 18 sin 5t N, where t is time. The mass is initially stretched
2 m beyond the equilibrium position and released with zero initial velocity. Find the position
of the mass measured from the equilibrium position.

Seytane
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Listen lady, you are wonderful and thank you very much. please keep going don't ever give up.
Cheers and Peace

Seytane
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I've taken a long break from college cuz i don't know what i want to major in but i need to go back and i like math. your videos are a great review for me. :)

oakenguitar
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i wish i watch this video before coming to the class. My teacher skip through integration process by just writing things out. Thanks for the video

ifoxrider
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WHAT! Thank you! You're awesome! This video was very helpful.

aracelicontreras
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If you're talking about the point where I evaluated the definite integral, it doesn't necessarily mean that the transform only exists for s>0, it just means that you're calculating the area under the curve everywhere to the right of the y-axis. :)

kristakingmath
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May God bless you, may you get immense happiness and live a great life :)))

arbitragezurich