FIND THE INVERSE LAPLACE TRANSFORMS: F(s) s. (s2 + 3s + 2)

Q: Find the Laplace Transform of the function f (t) = e-3t 1. A. F (s) = S-3 %3D F (s) %3D s+3 F (s) C.…

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Q: determine the Laplace transform of f. Q. f(t)=e−4t sin5t

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Q: AS F(S) = %3D (52+4)²

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Q: a? + b², ab + 0 (s2+a?)(s²+b²)'

A: We find the Inverse Laplace Transform of given function.

Q: f (t) = e2t u(t – 3)

A: We need to determine the Laplace transform of ft=e2tut-3 Now, the Laplace transform of ectgt is: Lec…

Q: The Laplace transform of a constant, k, is valid for O s>k O s>k O s>0 O s<0

A: Laplace transformation of a constant k is  L{k} = k/s It is valid for s &gt;0

Q: determine the inverse Laplace transform of F.

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Q: Find the Inverse Laplace transform of F(s) = (s+1)(s²-1)

A: The given function is Fs=1s+1s2-1 OR Fs=1s+1s+1s-1 To find the inverse Laplace transform of the…

Q: f(d) = e-2d d4

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Q: Find the inverse Laplace transforms of the functions: a) F(s) = 9+s/4-s^2 b) F(s) = 1/s(s^2+4)

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Q: Find the Laplace transform of L[ (A) L =- s* +a (B) L[)= a (C) L = (D) L =- s +a (D)

A: L[eat]=1s-a

Q: Find the Laplace Transform F(s) of: f(t)=et (ao+a₁t+...+ant)

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Q: Find the inverse Laplace transform of F( where 1 F(s) = s(s? + 2s + 2) %3D

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Q: Find the inverse Laplace transform. F(s) = 1/s(s^2+49)

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Q: Find the Inverse Laplace of F(s) = = s+3 (s—2)³

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Q: Find the inverse laplace of F(s)=1/(s+1)(s^2+1)

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Q: ind the Laplace transform of f(t). f(t)=3u5(t)+5u8(t)+6u10(t) F(s)=?

A: Given: f(t)=3u5(t)+5u8(t)+6u10(t) To find the laplace transform of f(t).

Q: Use the definition of Laplace Transforms to show that:

A: Given:The laplace transformation,

Q: : Find the Laplace transforms of (i) (t – 2)°u(t–2) (ii) e¯"u(t - 2)

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Q: Find the Laplace transform F(s) of f(t) = e"->u(t – 1) F(s) = %3D

A: We have to solve given problem:

Q: b. F(s) = (s-5)5

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Q: 4s f(s) s2 – 64

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Q: 3) F(s)=- s(s+a

A: To solve this problem, we use the standered result of   inverse laplace transformation.

Q: 1 1) F(s)%= s+s

A: we have to calculate Fs=1s2+s first taking the partial fraction of 1s2+s 1s2+s=As+Bs+11=As+1+Bswhen…

Q: Find the Laplace transform of f(t) = sinbt .

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Q: Find the Laplace transform of f(t) = tu1(t). %3D

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Q: Find the Laplace transform of f(t) = e4t + 7sin(2t).

A: We will use the formula Lf(t) = F(s)Leat = 1s-a                    Lsin at = as2+a2

Q: Find the Laplace Transform A- f)=tcos(@r) B- f(1)=tsin(@t) C- f(t)=tcosh(at)

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Q: Find the INVERSE Laplace transform F(s) = s / (s^2 + s -2)

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Q: Find the Laplace Transform of f(t) = e°(3cos t + 1)

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Q: FIND THE INVERSE LAPLACE TRANSFORMS: 5 F(s) : s. (s + 2)(s + 3)2

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Q: solve for the laplace transform f(t) = {t,t

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Q: determine the Laplace transform of f. Q. f(t)=et −te−2t.

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Q: ,determine the Laplace transform of f. Q. f(t)=t2(et −3).

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Q: Find the Laplace transform of L[). (A) L =; (B) L)= (C) L)=- (D) L ) =

A: Calculate Laplace transform: Leat-e-at2=121s-a-1s+a                         =as2-a2

Q: Find the inverse Laplace transforms of the functions: 3 (a) F(s) s4 1 (b) F(s) (c) F(s) = s+5 3s+1…

A: We are authorized to answer three subparts at a time, since you have not mentioned which part you…

Q: Find the Laplace transform F(s) of f(t) = et4u(t – 4) F(8):

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Q: find the Laplace transform of f (t). f(t)=(e^3t-1)/t

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Q: Use the convolution product to find the inverse Laplace transforms of s? 1 (s² + 1)3’ (s² +1)(s² +…

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Q: F(s) = S-1 (s+3)(s²+2s+2)

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Q: Find the Laplace transform of f(t) = u(t – 4) · e' F(s) %3D 8-2

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Q: c f(t) = 10cos2wtsin2wt %3D

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Q: The inverse Laplace transform of F(s) = is O 3t3 O 3t

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Q: Find the laplace transform of f (t) = 2t1 – 3et + 10 cos 2t %3D

A: We will use property and tables of laplace transformation

Q: f(t) = e3t f(t) = t3 %3D

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Q: Calculate the Laplace transform of 4. f(t) = tcos bt

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Q: Find the Laplace transform of f (t) = t? (2€t -1)2 (7) t a.) 2 %3D 2. 12

A: Given that: f(t)=t2(2t-1)2

Q: Find the Laplace transform for (a) f(t) = t cosh 2t. (b) f(t) = e-2t cos 2t. %3D

A: We need to find the Laplace transform for the given function. (a) f(t)=tcosh(2t) (b)…

Q: f(t) 2 1 4 5

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Q: Find the Laplace transforms of the functions: f(t) = t²

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