Laplace Transforms Without Integration
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- เผยแพร่เมื่อ 14 พ.ค. 2024
- This video shows you a method for finding Laplace-Transforms without using integration, and ends with a derivation of an interesting trigonometric identity using the Laplace Transform. The main technique used in this video relies on two formulas: (1) Linearity of the Laplace Transform and (2) The Laplace Transform of the derivative of a function. To see where these formulae come from, see the videos below.
02:00 - Laplace transform of y = 1
04:08 - Laplace transform of y = t
05:25 - Laplace transform of y = e^t
08:22 - Laplace transform of y = sin(2t)
13:20 - Laplace transform of y = sin^2(t)
16:10 - Laplace transform of y = sin^3(t)
(1) Linearity of the Laplace Transform
• Linearity of Laplace t...
(2) The Laplace Transform of the derivative of a function
• Laplace Transforms of ...
#laplace_transformations #laplace #laplacetransform
Excellent video. Thank you.
Thanks!