laplace, fourier & Z - transform?
laplace transform is used to convert from time domain to frequency domain (s-domain). it .... fourier analysis is broken up into fourier transform and fourier series. there is also the choice of continuous or discrete. fourier transform...
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Fourier Transform help!?
Fourier transforms look like: G(k) = ...respectively in the "inverse" transform. You should check ... because Fourier transforms are also how you create...
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1.) Take the Laplace transform of the differential equation is ℒ{ y''(t...1 - n/2)∙p) - u(t - n∙p) ] The Laplace transform of a Heaviside step function is: ℒ...
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Laplace Transform problem?
To transform a piecewise defined function, you have to convert it to a continuously...t)·u(t) - sin(t)·u(t-π) + cos(t)·u(t-2π) To find the transform use time shift rule: ℒ{ f(t) u(t-a) } = F(s+a) F...
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differential equation laplace transform!?
The transform of function multiplied by t equals the transform of the function ...find that multiplication with nth power of t corresponds to nth derivative of the transform: ℒ{ tⁿ∙f(t) } = (-1)ⁿ ∙ dⁿ{ ℒ{ f(t...
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Find the Laplace Transform?
The transform of shifted function is: ℒ { f(t - a)∙u(t -a...7) - sin(7)∙sin(t - 7) )∙u(t - 7) The Laplace transform of nth power of t is known as ℒ { tⁿ...
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solve by using Laplace transform?
Laplace Transforms (see link below) x'' = s²X - sx(0) - x...) - 9/4) Check table of Laplace Transforms to find the right equation Closest equation we can...
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Laplace Transform?
... are a few Laplace Transforms to know (use a table): L.T...need to use the definition of Laplace Transform to solve: int(0 -> inf): 9t*exp(t)*exp...
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One sided Laplace Transform?
Transform you stepwise defined function into an single expression valid for all x, by introducing Heaviside...x-1) - (2-x)·u(x-2) = x·u(x) - 2·(x-1)·u(x-1) + (x-2)·u(x-2) You fin the Laplace transform of such a function by the time shift rule: L{ f(x-τ)·u(x-τ) } = e^(-τ·s)·L{f(x)} Therefore...
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Inverse Laplace transform?
The exponential function in you transforms corresponds to time shift of the inverse transform. The shifting...
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