Find the inverse Laplac Transform of the following functions: 1 (i) s2+2s+1 s3 -s2+s–1 (iii) TD-2) 2s+4 (s+1)(s²–2)

Q: Find the inverse Laplace transform of 6e-1s + le-3s + 3e-5s + 2e-8s F(s) = (Use step(t-c) for u.(t)…

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Q: Determine the inverse Laplace transform of the function below. 3s2 + 5s + 5 s(s2 + 4s + 5)

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Q: Find the inverse Laplace transform of F(x) = 4s^2−2s+2/(s2−4)(s)

A: The inverse laplace transform of F(s)=4s2-2s+2s(s2-4)

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: Find the inverse Laplace transform of 6e-1s + le-3s + 3e-5s + 2e¬8s F(s) = . (Use step(t-c) for…

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Q: determine the inverse Laplace transform of F.

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Q: Find the inverse Laplace transform of 15 F(x) s2 + 4s + 13

A: The given problem is to find the inverse Laplace transform of given function, Given function F(s) =…

Q: find the Inverse LaPlace Transform, L-1{F(s)}. L~1 s2 А. (t - 1)*и(t — 1) В. t u(t - 1) C(t – 2)U(t…

A: Given, L-1{e-s/s²} We know that, L-1(e-s)= theta(t-1) L-1(1/s²)= t

Q: 6. Find the inverse Laplace transform of the function (3²-²)(as + b) I(s) = (s² + a²) (s² + 3²)

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Q: determine the inverse Laplace transform of F.

A: Given:

Q: 3s+2 4. s² – 8s +25 5s2 +8s – 1 5. (s+3)(s²+1) |

A: Given Laplace Equation 4.) 3s+2(s2-8s+25) 5.) 5s2+8s-1(s+3)(s2+1) linearity property of inverse…

Q: s2 +s - 2 X(s) : (s2 + 8s + 15)

A: According to the given information, it is required to find the inverse laplace transform.

Q: Find the Inverse Laplace Transform, F (s) = (s-2)(s-3)(s-6)

A: The given question is related with inverse Laplace transform. Given that,                   Fs =…

Q: Find the inverse Laplace transform of G(s)=1s2−4s+5.

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Q: s3 – 2s – 1 L(5(E) = (--s-12)(s² +3) s* +3

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Q: determine the inverse Laplace transform of F.

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Q: Find the inverse Laplac Transform of the following functions: 2s-3 Find L-1 s²–3s+2. Find L-1 |…

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Q: Find the Inverse Laplace Transform of : F(s) = 3 / s2 (s2 + 4s + 4)

A: use partial fraction and then apply laplace inverse on both side...

Q: 5. Find the inverse Laplace transform of the function as +b H(s) = (s – a)² + B²' -

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Q: Find the Laplace transform of f (+)= 3t-e2+ S-2 S+2 d) 3 (S-2)² S-2

A: Given that        f(t)=3t-e2t Here we have to find the Laplace transform of f(t).

Q: у" - 4y %3D -7е2x + х;

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Q: Find the inverse Laplace transform for - 3t . ft) = %e* 7 (a)) F(s): %3D (s +3)3 , fGt) -e(2 cos 3t…

A: Inverse laplace transform

Q: Q1 - Find the inverse Laplace transform of the equation given below. y- 6y + 8y 4t2 y(0) = 1,y(0) =…

A: Suppose that f, f', f",..........,f(n-1) are all continuous functions and f(n) is a piecewise…

Q: b-F(w)=e"w - t

A: According to the definition of modulus function f(x)=|x|, the value of function f(x) is x, if x≥0…

Q: Determine the Laplace transform of the equation f (x) = 2e-"sin4t 16 A s2+ 4s + 20 20 B s2+ 4s + 20…

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Q: )Find the fourier transform for the function: - 1<t <1 otherwise 1 f(t) = {, | %3D

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Q: determine the inverse Laplace transform of F.

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Q: Find the inverse Laplace transform of: F(x) = (4s2-2s+2) / [(s2-4)(s)]

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Q: Find the inverse Laplace transform of: F(x) = (4s2-2s+2) / [(s2-4)(s)]

A: Given :    f(x) = 4s2-2s+2s2-4s

Q: 1 F(s) : (s-2)(s-4)(s-8)

A: Use the Laplace table.

Q: determine the inverse Laplace transform of the function. L-1{R(s)}= L-1{7/(s+3)(s-3)}

A: Given function is,

Q: Find the inverse Laplace transform of: S - 1 2s2 + s + 6

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Q: Determine the inverse laplace transform of this function: 2 5+1 (s + 3)(5 +4s + 5)

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Q: 1: Find the inverse Laplace transform of the function: -2s3+12s2-8s- 4 F(s) = (s-2)2(s+ 1)s

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Q: Find the Fourier transform for f (x) xe c > 0

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Q: 2T (-1Y- Find f(x) if its finite sine transform is given by f, (p) = where 0<x < T. -, p = 1, 2, 3,…

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Q: (a) By making appropriate use of Jordan's lemma, find the Fourier transform of T³ f(x) = (x² + 1)²*

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Q: 5. 1 S² + 4s +8 6. 3 (2s+5)³

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Q: 3. Find the inverse Laplace transform of: 2s2 + 3s - 5 F(s) = s(s + 1)(s – 2)

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Q: Find the inverse transform of L-1[ if L-1[f(s)] = F(t) s 2 3/2 4t3/2 4t/2 dt1/2 O O O

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Q: Find the inverse Laplace transform of -9s e F(s) = s2 - 2s – 8 f(t) = . (Use step(t-c) for uc(t) .)

A: The given expression is Fs=e-9ss2-2s-8. We have to find the inverse Laplace transform of function…

Q: Find the Fourier transform of the function : S (t) = e-x2 %3D

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Q: x(t) A -1 -A

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Q: Find the Fourier Transform of Seizt -1<t<1 f(t) = = 0 elsewhere

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Q: Give the inverse Laplace Transform of 2 F(s) = - (s – 4) (² + 9) as a function of x.

A: In the given question we have to find the inverse Laplace transformation of…

Q: Obtain the inverse Laplace transform of thefollowing functions 2 +1 a) (a+2)(s+3)

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Q: Determine the inverse Laplace transform of the function below. 3s2 + 5s + 5 s(s² + 4s + 5)'

A: The given function of s is: 3s2+5s+5ss2+4s+5 Using partial fraction decomposition assume that…

Q: Find the inverse Laplace transform of -2s -3s -6s 7s -4e + 4e + 6e + 3e F(s) f(t) = . (Use step(t-c)…

A: We have to find the inverse Laplace transform.

Q: Find the Fourier transform of f(t) = 5e-3|t|_ %3D

A: To determine the Fourier transform of the below function. ft=5e−3t