(2) Apply inverse Laplace transform and find f(t) of the following: 6(5+3) S (5+1) (5+2) a) F(s) = b) F(S) = c) FIS) = 55²-25-3 (5²+1) (5² 25+5) 53+5² + 25+ 3 (5+1)² (5+2)²

Q: Find the inverse Laplace transform of the following function by using Theorems and tables 2s + 5 +…

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Q: 5s + 20 F(s) = s2 + 8s + 97

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Q: ind the Laplace transform and inverse Laplace transform for the given function (a) f(t)=41²-2e"…

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Q: Find the inverse Laplace transform of 1 F(x) S- s2 (s + 1)

A: If L[f(t)]=F(s), then f(t) is called the inverse Laplace transform of F(s).…

Q: How to find the Laplace transform of this equation? f(t)=sinh^2 t

A: Let us find the Laplace transform of the given equations in the next step.

Q: Can

A: Separate the denominator Take inverse Laplace transform Find f(t)

Q: Is that 9/4

A: We have to write the in given solution it is g/4 or 9/4

Q: find the inverse Laplace transform of the given function of 4e^(-2t) / (s(s+4))   Thank you for…

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Q: If x=t-4, find L[(xe¯x)]

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Q: Find the inverse Laplace transform of F(s)= -7s 4s +7 (s - 4) – 21 (s+1)(2s + 3)(3s +5)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Use the convolution theorem to find the inverse Laplace transform of the given function. Laplace…

A: We will find out the required value.

Q: xct) = 3(t/4) e

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

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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: (Exercise 23 on page 225) Find the inverse Laplace transform of the function using the Heaviside…

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Q: Q3 Find Laplace transform of the function f(1) =t sin(@t)

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Q: 2s – 7 - F(s) = %3D (s – 4)(s + 6)

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Q: Laplace transform of ramp function f(t)-DAt is

A: Given f(t)=At

Q: 35-1 F(s) -

A: The given function isF(s)=3s-1s2+25

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 inverse Laplace transform f(t) = £¹{F(s)} of the function F(s) = f(t) = = L 6s+2 s² + 100…

A: The function: Fs=6s+2s2+100. We have to find the inverse Laplace transform of the given function.

Q: Evaluate L{t sin kt} (Use the Derivatives of Transform)

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Q: F(s) = 1 (s + 1)²(s² + 4)

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Q: F(s) = s4+s-6

A: Given F(S)=(5)/(s2+s-6). We need to find the inverse Laplace transform .

Q: Q6/ Find the Inverse Laplace Transform 4-L-1( s-3 )

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Q: Find the Laplace transform F(s) = L{f(t)} of the function f(t) = 8th(t - 7), defined on the interval…

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Q: Use the definition of the Laplace transform to find ℒ{f(t)} for f(t) = 2e^−3t Find the domain of the…

A: The explanation of the solution as follows:

Q: (b) What is the Fourier Transform of x?8(x² – a²)?

A: The given problem is to find the Fourier transform of the given function, in the given function…

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: Since (7t^2) *e^(mt) - (7t^2) *sinh(at) = (t^2)(7e^(mt) - 7sinh(at)) What should you take the second…

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Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.