If F(p) is the Laplace transform of f(x) and a > 0, then e-ap F(p) is the Laplace transform f(x-a) H(x-a) where H(x- a) is the Heaviside unit function defined as 1, if x > a H(x – a) = { %3D if x < a

Q: = Find the inverse Laplace transform f(t) = L-¹ {F(s)} of the function F(s) = f(t)= [38+4 +36 = L-1,…

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Q: Z (² - -/-) (² - -/-) (2-

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Q: Look for the inverse Laplace transform L^ -1 {s-2/(s^2+2s+26}

A: Given expression is L−1s−2s2+2s+26 We have to find the inverse Laplace transform. First of all, we…

Q: Find the Laplace transform F(s) = L {f(t)} of the function f(t) = (3 – t) (u₂(t) — u₁(t)) F(s) = L…

A: Formula of Laplace transform  Lu(t-c)=e-cssLtkf(t)=(-1)kdkdsk(F(s))

Q: Let X(ja) be the Fourier transform of the continuous time signal x(t). The graph of YGa) versus o is…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: using con |' 1 P+ (1)

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Q: If * represents convolution, determine the Laplace transform of f(t) = 12t * e-3t

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Q: When calculing the inverse Laplace transform of the function F(s)=6/s^5 is obtained as a result: A-…

A: To find the inverse Laplace transform of the following function.

Q: 2) There is a function F (s) with "different true root state". Make the inverse laplace transform of…

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Q: f(x)= 23, X cosx x2 x2월 욀

A: This question is for Laplace transform not for inverse Laplace.

Q: Find the Laplace transform F(s) = L {ƒ(t)} of the function f(t) = (9 – t) (u₂(t) — u6(t))

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Q: Use direct integration to find the Fourier transform G(f) of signal

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Q: By using convolution theorem for Laplace transform, prove that 1 L-1 + x}={erf (2√x) PVp +4

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Q: F(s)= (s +1)es» s²(s + 2) -5s

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Q: Find the inverse Laplace transform C-{F(s)} of the function 8 F(s) (s – 5)³ NOTE: The answer shouid…

A: Given that, F(s)=8(s-5)3 The Inverse Laplace Transform of the function is determined as shown below.…

Q: Find the inverse Laplace transform L-{F(s)} of the function F(s) s2 + 9s – 10 NOTE: The answer…

A: The given problem is to find the inverse Laplace transform of the given function.

Q: Find the function with the transform 10 1 - e-4s – 4se- â(s) = 1- e-10s

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Q: F(s) = 1 (s + 1)²(s² + 4)

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Q: Find the Laplace transform F(s) = f(t)= (3-t) (h(t-4)-h(t-6)), for a 0. F(8) = C {f(t)} 2h(3-1)/s^2…

A: We know for a function g(t),           L{g(t)h(t - c)} = e-cs L{g(t + c)} Here, h(t - c) is…

Q: Use formulas from this course to find the inverse Laplace transform (a) L-1{+1) 2s+1 1 252+8 (b)…

A: Solution:

Q: pply the theorem L(f* g) = L(f)L(g) to find the inverse Laplace transform; also do it in mother way…

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Q: 8(a) Using Convolution theorem, find the inverse Laplace transform of s2 +aP

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Q: Find the inverse Laplace transform f(t)= C1 (F(s)) of the function F(s): 36)}-Oh f(t)=c-1 {-(; 6 +64…

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Q: Q6/ Find the Inverse Laplace Transform 1 2- L-1 (s²+9).

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Q: (b) f (x) = {sent, .if 0<t<n l0, if

A: We find Laplace transform of given function

Q: If the Laplace transform of a function f is defined and denoted by F(p), find an expression for the…

A: The solution is given as

Q: Find the Fourier Sine Transform of the function   if a = 7,  b = 7 , m = 5 , and n = 4. Then,…

A: The formula for the Fourier Sine Transform is :-  f^a=2π∫0∞fxsinaxdx   And we are given the function…

Q: fer) sen ax %3D

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