Laplace transform of the dirac delta function | Laplace transform | Khan Academy

Figuring out the Laplace Transform of the Dirac Delta Function

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Differential Equations on Khan Academy: Differential equations, separable equations, exact equations, integrating factors, homogeneous equations.

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[AlexanderAV]

You are amazing! Most profs these days just read off slides or mumble to themselves as they write down things without explaining anything.

As opposed to you, who speaks clearly and actually explains every single aspect =D Thanks!

[reypope]

saved my life. studying for my Diff Eq final tomorrow at UFlorida. big portion will be on the dirac delta, step, periodic functions' laplace transforms and convolation.

[yagiztr]

fourth time getting the differantial class, first time understanding. thanks!

[SayanGHD]

"Don't judge me by the straightness of my axes" made my day !

[amyy]

Just like wow😅... amazing teaching.. you were really ahead of time sir

[quadrinhosmonica]

Because t means time in the context of the Dirac Delta function, you can evaluate the improper integral from 0 to (infinity), instead of (- infinity) to (infinity), since there is no such thing as "negative time"*

*As I'm saying this in 2018 I really hope some future physicists don't come up with negative time.

[AbbyShumate]

my diff eq teacher gave us an equation with a delta function and refused to explain what it is. this saved my life

[hanxia]

I spent 2 hours trying to figure out how to find the Laplace Transform with the sifting property of the delta function. Thank you!

[johnlie]

Khan is really Khan.

Many thanks khan.

[shahidullahkaiser]

Just when i'd given up hope of understanding these things, I came across this video. You're a godsend. Thank you. :)

[shehryaramin]

Best Demonstration till now....!
Hats Off!

[embarrassingstain]

Best explanation of the sifting property of the delta function I've ever seen!

[pseudohominom]

Wow, I love the way math can do anything. And I love the way you explain things. your use of colors really helps.

[izaish]

Its like sal learned to teach at khan academy. He nails it!

[mejdbaba]

Thank you so much for this wonderful video. Now, I know what Dirac delta function is.

[nucspartan]

god bless your intuition Khan. Don't memorize, understand.

[robertoberidojr.]

This is the most beautiful thing I've seen today

[gensvitux]

There's a tiny error in the last yellow expression where you wrote delta{ } instead of L{ }

[sipoVvids]

One of the most useful explanations I've seen. Thank you

[lekanadenusi]

This was very enlightening. Thank you!