3 Properties of Laplace Transforms: Linearity, Existence, and Inverses

Опубликовано: 17 Март 2020
на канале: Dr. Trefor Bazett
117,233
2.4k

The Laplace Transform has several nice properties that we describe in this video:
1) Linearity. The Laplace Transform of a linear combination is a linear combination of Laplace Transforms. This will be very useful when applied to linear differential equations
2) Existence. When functions are reasonably nice - something we will call of exponential order - then the Laplace Transform converges.
3) Inverses. For L(f(t)=F(s), there is a unique f(t) for any given F(s). What this means is that we can define an inverse Laplace Transform.

This is the second video on Laplace Transforms in my Differential Equations Playlist:    • Laplace Transforms and Solving ODEs  


****************************************************
Other Course Playlists:

►CALCULUS I:    • Calculus I (Limits, Derivative, Integ...  

► CALCULUS II:    • Calculus II (Integration Methods, Ser...  

►MULTIVARIABLE CALCULUS III:    • Calculus III: Multivariable Calculus ...  

►DISCRETE MATH:    • Discrete Math (Full Course: Sets, Log...  

►LINEAR ALGEBRA:    • Linear Algebra (Full Course)  

***************************************************

► Want to learn math effectively? Check out my "Learning Math" Series:
   • 5 Tips To Make Math Practice Problems...  


►Want some cool math? Check out my "Cool Math" Series:
   • Cool Math Series  

****************************************************
►Follow me on Twitter:   / treforbazett  

*****************************************************

This video was created by Dr. Trefor Bazett. I'm an Assistant Teaching Professor at the University of Victoria.

BECOME A MEMBER:
►Join:    / @drtrefor  

MATH BOOKS & MERCH I LOVE:
► My Amazon Affiliate Shop: https://www.amazon.com/shop/treforbazett


Смотрите видео 3 Properties of Laplace Transforms: Linearity, Existence, and Inverses онлайн без регистрации, длительностью часов минут секунд в хорошем качестве. Это видео добавил пользователь Dr. Trefor Bazett 17 Март 2020, не забудьте поделиться им ссылкой с друзьями и знакомыми, на нашем сайте его посмотрели 117,233 раз и оно понравилось 2.4 тысяч людям.