Is L[6] = 6L[1] in Laplace Transforms correct?

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The discussion centers on the correctness of the Laplace Transform equation L[6] = 6L[1] = 6/s, given that L[1] = 1/s. Participants confirm that this transformation is accurate, emphasizing the use of the linearity property of Laplace Transforms for validation. Despite initial doubts, the transformation is affirmed through both theoretical understanding and practical application. The conversation highlights the importance of clarity in solving initial value problems using Laplace Transforms. Overall, the equation is confirmed as correct in the context of Laplace Transforms.
SpeedBird
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hello there.. just a simple question
am i correct in assuming that if:
L[1] = 1/s
then:
L[6] = 6L[1] = 6/s?
i'm sure that is correct, but it seems be be messing up an initial value problem
i am trying to solve..

Nik
 
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yes L[6] = 6/s
(u can do the actual transformation or use the linearity property to convince yourself).
 
thanks for the reassurance :-)
i did use the actual transform to check
but i still wasn't 100% sure i was correct.

Nik
 

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