[6.1] A. Find the Laplace transform . fit) Sinh4t रजक) ? B. Find the inverse Laplace transform. よ S465t? (5-1)(5+25-) /-

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

A: We have to find the Laplace transform .

Q: 2. Soru Which of the following inverse Laplace transform is TRUE ?

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Q: Find the inverse Laplace transform of the following: 1. L-1 2s+1 (s+1)²,

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

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Q: Find the Laplace transform of the following: 3. f(t) = cosh(3t)

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Q: Determine the Inverse Laplace transform for 2s +9) 5² +9) L-

A: Here we have to find the inverse Laplace transform of  L-1{2s+9s2+9} Applying property…

Q: -3(1-cosh 377t) t

A: We are given : -3(1-cosh 377t)t Let, f(t)=-3(1-cosh 377t)t Now, L-3(1-cosh…

Q: the Laplace transform to so (0) = 0

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

A: The given function is 1s2-8s+25 completing squares 1s2-8s+25=1s2-8s+16+9=1s2-24s+42+9=1s-42+9

Q: Q1\ Find the Z-transform of A) cosh 2

A: The given question can be solved as shown in step2.

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: 3s+2 s+25

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Q: 2ts (s2 + п?)2

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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: Q1/ Find the laplace transform for the following 2 - (t+2)?. cos 2t

A: We have to find Laplace transform of given function using Laplace transtorm Method.

Q: t is the laplace transform

A: Here we have to find the Laplace transform of the aet-e-2t

Q: 6. e 2t sin2t + e³t₁² 2

A: Given function is f(t) = e-2tsin 2t + e3tt2 To find Laplace transformation we use the following…

Q: 2. Find the Laplace transform L( te )

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Q: I. Find the inverse Laplace Transform of the following а. s3-5s

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Q: 8. (1+e¹¹)² 2

A: Given function is f(t) = 1 + e-t2⇒ f(t) = 1 + e-2t + 2e-t To find linear transformation we use the…

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

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Q: 3. Use the definition of Laplace transform to find L{t²H(t-5)}.

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Q: Find the Laplace transform of the following: 1. e3t cos 2t

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Q: What is the value of the inverse Laplace transform given by L* 2s +3 -1 s2 +2s +3 J

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Q: sinh t) + e-2t cosh (;t) 5.

A: # we are entitled to solve one question at a time, please resubmit the others if you wish to get…

Q: Derive the Laplace transform of the following functions: s-a L{et cosh (bt)} = (s-a)²-b2

A: The given laplace transform  is ℒ eatcosh (bt)=s-a(s-a)2-b2

Q: 4s – 12 52 - 6s + 13

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Q: Solve the following Laplace Transform of Algebraic Expression: 4. Find the L te2t ?

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Q: Q3) Evaluate The Following Inverse Laplace Transform 9s 1) L-1 (s²+k )2. 4k2 2) L-1{ } (s²+k )²

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Q: when using the Laplace Transform Table, you need to always identify c, f(t), and F(s), etc. 2 Find…

A: find the inverse laplace transform

Q: 3. f(t) = cosh(3t) %3D

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Q: what is the Laplace transform of (1/120)t^5 + te^-2t

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Q: Find the Laplace transform of (cosht + 1)2.

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Q: The Laplace transform of fsin 2t is Select the correct answer Oa 4-2 Ob 4s Oc 1 Od 452-s Oe 2-45 Of…

A: We need to find the Laplace transform L{tsin2t}. We will use the formulas for Laplace transform to…

Q: Findthe Laplace transform, L{t2sin(t)}.

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Q: 4. L 3s -2 2. s +8s+25

A: To solve given inverse Laplace transform first we rearrange the given function and then use the…

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: Find the Inverse Laplace Transform of the following: 8s2 –4s+12 1. F (s) 53+4s

A: The solution is given as

Q: -4s Using Laplace transform tables or otherwise, find L-1

A: Please check step 2 for the solution.!

Q: Find the inverse Laplace transform of 7s (3s²+75)²

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Q: 5s + 57 32(s + 2s + 17)

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Q: Find the Laplace transform of the following function: e3t + 3t2 – 4 cos(4t) + 10. Does such property…

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Q: The Laplace transform of t sin(3t)is : 30s2-54 (s2+9)3 12s-54 (s2+9)% 18s-54 (s2+9)2 12s2-54 (s?+9)?…

A: We find the last transform of t2sin(3t)

Q: Use the laplace transform to solve

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Q: Q4. Find the inverse Laplace transform of 2s+19 s²-6s+58

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Q: Find the Laplace transform of the following: 1) sinh3 4t

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Q: 6s+3 L-1 Is++5s2+4.

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Q: What is the Laplace transform for the function: x(t) = 9sin(5t) + 10cos(10t).

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Q: Find the Laplace transform of the following: 1) t cosh 2t

A: Find the Laplace transform of the following: 1) t cosh 2t

Q: 25 s3(s? + 4s + 5)

A: