1 5. (a) 7 cosh 2x (b) – sinh 3t

Q: 3. Evaluate Laplace transform to + 5 sin7t . 3 2

A: We have to find the Laplace transform .

Q: 1. Find the laplace transform of sin(t)sin(2t) sin(3t), using est f(t)dt. F 1-4 3 1 r are. ².2.

A: As per our company guideline we are supposed to answer only one qs kindly post remaining qs in next…

Q: e-2t cos 3t cOS

A: The given question is related to Laplace Transform. The solution is explained below.

Q: find the Laplace transforms A preliminary in- of the functions in Problem. tegration by parts may be…

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Q: 8 The inverse Laplace transform of the function is sin(3t) (A) t – 3 sinh(3t) (B) t- 3 sin(3t) (C)…

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Q: Find the Laplace transform of L(t5)

A: The Laplace Transform of f(t) is given by, L{f(t)}=   ∫∞ 0   e^-stf(t)dt Here f(t)=t^5 So, L(t^5)= ∫…

Q: Find the Laplace transforms of the following. r -6t sinh(2t) 1. -6t cosh(2t).

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Q: Find the Laplace transform of the following: 1. e3t cos 2t 2. sinh3 4t 3. te-lu(t – 1) 4. t cosh 2t

A: 1) Given:    e3tcos 2t      Applying Laplace transform       Lft=Le3tcos 2t Apply transform rule:…

Q: 5. Given that L{ sin VE} = 1/2s T /se-/4. determine the Laplace transform of (1/Vecos vt. %3D

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Q: 2. XO) = 34152425 Transform back to time base using Inverse Laplace -s 5s tz 5²+25

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Q: 2. e-4t sin (8t)

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Q: 1 5. If the Laplace transform of f(t) = , find F(4s) %3D

A: We have given that , Laplace transform of , f(t)  is e1ss. We need to find  ,  F(4s). We know that ,…

Q: find the Laplace transforms A preliminary in- of the functions in Problem. tegration by parts may be…

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Q: Determine the Laplace Transform of cos*t

A: cos3t≡(cost)(cos2 t) cos3t=cos(1−sin2 t) cos3t=cost⋅1/2(1+cos2t)…

Q: 1 If the Laplace transform of ewt is , the Laplace transform of t coshtis S-W

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Q: Solve for the Laplace transform of e2t sint cost cos 2t cos 4t 1 s-4s+20 s-4s+68 -4s+20

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Q: 8 3 Find the Inverse Laplace Transform of- + 3s2+ 12 s2– 49 3 4 A) - sin2t + -cosh ( 7t) 7 3 4 –…

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Q: 1 Prove that L(sinh t) %3D (s2–1)

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Q: 7. The Laplace transform of cos^t+sin^t is O 1/s O 1/s^2 O 1/sin s O 1/(sin s + cos s)

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Q: 1. Determine the following Laplace transforms: i) Le cosh' at) L'+% -3s+9" ii) 3s +5 iii) -2s+1

A: As per our guideline we are supposed to answer first three subparts.kindly repost other question.…

Q: (sin³r} = {1-co52} and find the Laplace transform: S 1 2 -3²+2 S 1 2 O 1(1 1/1 S +4 +2

A: Given formula of sin^2 t is in terms of cos2t. For detailed solution, visit step 2.

Q: 10 (b) Use the Laplace transform table and the linearity of the Laplace transform to determine the…

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Q: Solve for the Laplace transform of et sint cost cos 2t cos 4t 7+4s+20 82-4+20 -4+68 4s+8

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Q: 3. e-9t cos(3t) + 5e-2t sin(3t)

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Q: * Find the inverse Laplace transform for-5 1 F(S) S + 25 5 sin(5t) 1 sin(5t) 1 s O 0 خیار 3 sin(5t)…

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Q: 2.) cos (10t+1)

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Q: 3.1 If the Laplace transform of coswt is then find the Laplace Transform of the s2+w? following…

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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: 1: Find inverse Laplace transform of the following functio 1 2) F(s)=- 3 s'+4s

A: find the inverse laplace transform of the given function

Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

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Q: 4. (a) 4 sin 3t (b) 3 cos 2t

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Q: 3.48. Find the Laplace transform of x(1)=(e" cos 2r – Se *ju(1) +*u(-1)

A: The given problem is to find the Laplace transform of the given time function. Given…

Q: 1. Use the Laplace transform to solve the following IVP: y"-2y' = e²" cost, y(0) = 0, y'(0) = 0

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Q: What is the Laplace transform of 8'? 1 se sin s Cos s

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Q: I find the Laplaa Transform ) f4): e" (3t*+ 1) - 5 sin at 5 sin 3t

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Q: 2. Find L{e3t cos 2t} using property of Laplace transform

A: We’ll answer the first question (Question number 2) since the exact one wasn’t specified. Please…

Q: 5 The inverse Laplace transform of the function sin(2t) (A) 1 – 2 sinh(2t) (B) t- 2 sin(2t) (C) t- 2…

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Q: Use the laplace transform to solve

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Q: 7. Find the Inverse Laplace Transform of 1 s²-8s+25

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Q: Q3: Find the solution of the Laplace transforms of the following functions: L-1 ¹ [-35 -3s2-12s-87…

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Q: 1. Solve the Laplace transform of the following: ii) et + cos(6t) – ecos(6t)

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Q: 7. (a) cosh²t (b) 2 sinh² 20

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Q: a) Sojlve the initial vajlue problem using Laplace transform UTM y + 2y = 26 sin 3t, y(0) = 3. UTM…

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Q: 1. Solve the Laplace transform of the following: iii) t'sinh(3t)

A: Given that: t4sinh(3t)

Q: 4. Find the Laplace transforms of a) Sinh 3t cos²t | cos (t-2n/3), b) t > 2t/3 14, c) t'e'sin6t. t <…

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Q: find the Laplace transforms A preliminary in- of the functions in Problem. tegration by parts may be…

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Q: find the Laplace transforms A preliminary in- of the functions in Problem. tegration by parts may be…

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Q: 7s Inverse Laplace transform of is given by s2-9 O 7 cosh(3t) O 7 sinh(3t) O 7 cos(9t) O 7 cos(-3t)

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Q: 2. Laplace STO 2 3. What is the Laplace transform of 2cos t?

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