The Laplace Transform, Basic Properties - Definitions and Derivatives

In this video, I give a few definitions and some results about basic properties of the Laplace Transform. I prove the result for the Laplace transform of derivatives. I do not solve any equations in this video; I am presenting a bit of the theory that justifies the way we do solve differential equations using the Laplace transform.

[kylem]

All throughout my calculus courses your videos saved me. Thank you so much!

[wafaaal-nabaheen]

واااو الشرح كتييير رائع ومفيد 💙💙💙
Finally l understand this lesson soo thank u so much
From arabian country 🙆💖💖💖💖

[abdelrahmangamalmahdy]

u r a really differential man ... mathematics in the final order

[breakdown]

This video is an INTEGRAL asset to my learning experience. :P

[Daniavila]

Thank you for these videos!! They really helped me to be done with all my college math courses!!

[furtall]

You're so much better than my professors at explaining stuff XD
Even though I'm Italian, I understand 100% of your videos :D

[Cjezdejesus]

Thanks a lot, Your videos have been helping me out since my first year. :)

[thayoliveira]

@patrickJMT Hi there, could you please make some videos about the Operational Properties of Laplace, such as derivative of transforms, convolution, transform of integrals and Volterra Integral Equation?? Thanks a lot Patrick! I've being following your channel since pre-calculus and trigonometry; Now, I'm finishing my Differential Equations Course :) Cheers!! You are great!

[MalcolmAkner]

Why is e^t^2 not an exponential function?

[Jayce]

are differentiation by parts, the u and v not classified by Logarithmic, algebraic, trigonometric and exponential?

[keogodfreymokotedi]

Where can i find videos about D operators

[blackiechan]

Are you a professor, or just a saint?

[mollyc]

What is Laplace? Just someone there give me one short sentence for its notion. I'm watching it second round of all Patrick's video, still I don't get it.

[xZakx]

Guess he just put that transform in its....La-PLAAACE. Eh? Anyone?

[jacobbchapman]

Differential equations are for people who are good at math.

[daseinbot]

the horizontal }'s you write look like very thin mustaches :D