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May 19th, 2016, 07:16 AM  #1 
Banned Camp Joined: May 2016 From: earth Posts: 703 Thanks: 56  Laplace transform
What is laplace transform?

May 19th, 2016, 08:54 AM  #2 
Math Team Joined: Jul 2011 From: Texas Posts: 3,034 Thanks: 1621  
May 23rd, 2016, 03:38 AM  #3 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
Seriously? You are asking about "Laplace Transforms", a topic from postCalculus "differential equations" and you just recently were asking about Roman Numerals, exponentials, and logarithms! Where are you getting all these?

May 23rd, 2016, 03:40 AM  #4 
Senior Member Joined: Feb 2016 From: Australia Posts: 1,838 Thanks: 653 Math Focus: Yet to find out. 
He has a degree in electrical engineering so i'm told. Just refreshing his memory.

May 23rd, 2016, 04:56 AM  #5 
Senior Member Joined: Dec 2012 From: Hong Kong Posts: 853 Thanks: 311 Math Focus: Stochastic processes, statistical inference, data mining, computational linguistics  And he asked the question about Laplace transforms in the Elementary Math forum, too 
May 23rd, 2016, 05:51 AM  #6 
Math Team Joined: Jul 2011 From: Texas Posts: 3,034 Thanks: 1621  
May 23rd, 2016, 06:00 AM  #7 
Banned Camp Joined: May 2016 From: earth Posts: 703 Thanks: 56 
hello, The huge syllabus has place less memory. so, i am trying to implement practically again. 
May 29th, 2016, 04:23 AM  #8 
Math Team Joined: Jan 2015 From: Alabama Posts: 3,264 Thanks: 902 
The Laplace transform is the operator that "transforms" the function f(x) to the function $\displaystyle L(f(x))= \int_0^\infty f(t)e^{st}dt$, a function of "s". It has the property that $\displaystyle L(f'(x))= \int_0^\infty e^{st} f'(t)dt= \left[e^{st}f(t)\right]_0^\infty+ \frac{1}{s}\int_0^\infty e^{st}f(t)dt= f(0)+ \frac{1}{s}L(f(t))$ (assuming f goes to 0 as x goes to infinity). That is, the Laplace transform of the derivative of f can be expressed in terms of the Laplace transform of f. That allows us to change differential equation in f (equations involving the derivatives of f) to an algebraic equation in the Laplace transform of f. 

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