Differential Equation Using Laplace Transform + Heaviside Functions

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In this video, I solve a differential equation using Laplace Transforms and Heaviside functions. I would have a table of Laplace Transforms handy as you work these problem! I assume in this video that you are comfortable working with Heaviside functions and also using tables of transforms.
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It felt so nice when you explained every step so slowly, unlike others who just go like *this is basics we all know*. Thank you so much!!!

harishr
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I may sound like a nerd, but I'm kind of sad that tomorrow I take the last math test of my life. I truly appreciate you taking the time to break these concepts and problems down step by step. I wish nothing but blessings from God on you, and I pray that his grace reign on your life even after you take your last breaths on this Earth! Thanks so much!

pablo
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You're a complete life saver. I have an exam with Laplace transform questions this week. Perfect timing!

kaleb.dotson
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I'm writing my Differential Equations final exam tomorrow and you just saved my life! BTW you also helped me pass Calculus last semester haha.

melissapistorius
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you by far have the most helpful videos for diff eqs

JPeep
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Funny how you posted this right now! I've got my mideterm of Calculus III (Laplace transforms, systems of linear differential equations, etc) in about 8 hours, so I already studied this, but when I saw it popping up in my feed I decided to give it a look just to revise :)

SuperGoldenGhost
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I passed my exam with this lesson!!good work !!

Mary_Lou
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This couldn't have come at a better time. We are learning this right now in my diff eq class and I was reading through the book and lecture notes struggling to understand this and you explained perfectly! Thank you so much!

alexyokiel
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Partick can you please make a few videos regarding the Dirac-delta function and it's Laplace transform?

immutabledestiny
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The best video on the subject for sure! Very clear.

guisas
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Enlightening techniques especially using the second shifting theorem to makes things easier. Blew my mind!

AJ-etvf
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I'm taking Diff EQ in a one month term. Learned this today and am covering new material tomorrow that will be on the exam in 2 days. This is the first time in any math course that I've ever been completely dumbfounded about material

Steveatron
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Thanks! I couldn't make the lecture on this subject and have a test on this pretty soon.

dekelsb
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THANK YOU THANK YOU THANK YOU going over this video for the 4th time in as many weeks--diffy final is in 2 hours!

liesalllies
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Lol perfect! I'm taking Diff-Eq this semester :D

DutchKid
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Very good explanation, much appreciated.

ergo
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I was like Laplace transforms! ... (clicks video) " I think i like math. I'm not sure how to feel about this.

ExperimentLife
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Call Arizona State University and demand at least 3/4 of the tuition I paid for MAT275 because you've certainly earned it.

andrewantes
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congratulations and thank you Patrick. it helped me a lot

kofitesla
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do we always leave the e^s term on the right side as a separate term?

brookeryan