Find the inverse Laplace transform L-{F(s)} of the function e-2s F(s) : %D s2 + 5s – 50 NOTE: Express the answer in terms of the unit step function u(t) and t. L-'{F(s)} =|uc(t) 1 -10(t-2) 15 15

Q: Find the inverse Laplace transform L-1{F(s)} of the given function. 4 F(s) = s2 + 4 Your answer…

A: Given,           Fs=4s2+4

Q: Q1\ Find the Laplace transform for the following function: f(t) = - 24 t5/2 + t e3t sin (6t)

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

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Q: (s) = (1-3s) / (s^2+8s+21) A [(13*sqrt(5)/5)*sin(sqrt(5)t)*e^(-4t)] + [3*cos(sqrt(5)t)*e^ B…

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Q: Part II. Find the Inverse Laplace Transform of the following: 8s -4s+12 1. F(s) s3 +4s

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Q: -25 -35

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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: Q1/ Find the laplace transform for the following 1 - e-6t.sin(10t-8)

A: By using properties of Laplace transform we solve the given problem as follows :

Q: Etample T4 Find the inverse finite cosine transform f (x) if (2nn cos 3 where 0<x < 4. F(n) = (2n +…

A: Inverse finite cosine transform

Q: (i) Find L(cos(at + b)] where a and b are constants. (ii) Using Laplace transform, evaluate fote-³t…

A: Disclaimer:  Since you have asked multiple question, we will solve the first question for you. If…

Q: The Laplace transform of L(sin7t) is IS (s? + 7) (s? + 72) 7. (s2 - 72)

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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: 2s – 7 - F(s) = %3D (s – 4)(s + 6)

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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: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

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Q: We can now rewrite L{y} as follows. (금) . (공) Liy} S- 5 s+ 4 Next, to solve for y, we apply the…

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Q: Write down the qualitative form of the inverse Laplace transform of the followir functions. For each…

A: The given equation of  Laplace transformation is: Poles are the zeros of the denominator the…

Q: 3 s + 10 s – 40 (t) (s³ – 4 s² – 7 s + 10) (s – 4) s

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Q: 21 4 39. (s + V2jª 40. s2 - 2s - 3

A: 39. Given  F(s) = 21s + 24       = 3!.213!s - -24 Apply laplace inverse both sides, we get L-1Fs =…

Q: Find the inverse Laplace transform L-1{F(s)} of the function 6 F(s) = (s – 1) NOTE: The answer…

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Q: Find the inverse Laplace transform f(t) = £¯¹ {F(s)} of the function F(s) = e −3s (1 – 4s) s² + 16

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

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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: Find the Inverse Laplace Transform e-3"(2s + 7) L-1 s2 + 16

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Q: Find the inverse Laplace transform f(t) = L¹{F(s)} of the function F(s) = = f(t) = L -- {7+5)-1…

A: Solution:-

Q: 10t – 5 if 0 5 Find the Laplace transform, F(s) of the function f(t) F(s) = ,s > 0 Calculator

A: Laplace transform

Q: Inverse Laplace transform of s2+9 is given by O cosh(3t) O cos(9t) O cos(3t) O sin(3t)

A: Find the inverse Laplace transform of ss2+9 we know that L-1ss2+a2=cosat

Q: Find the inverse Laplace transform L-'{F(s)} of the given function. 10s? – 24s + 96 - F(s) = s(s2 +…

A: To solve given problem first we  do partial decomposition of given function then taking inverse…

Q: Solve the Inverse Laplace Transform 6 1 F(s) = ((25 + 3)² + = -) 0 ² e 5s 3

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Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

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Q: (a) Define the term real sequence. (b) Let (an) be a real sequence and I a real number. State…

A: Convergence of the real sequence.

Q: Y(s) = %3D

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