-1, 0st<1 Draw a graph of f(t)= and then use the definition to find the Laplace 1, 121 transform of f(t).

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

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Q: 7 The inverse Laplace Transform of the F(s)==+ is (s-3)

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Q: L-¹ s+2 2s²+4s+ 7

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Q: Determine the Laplace transform of f(t) = 5sin 2t - 6t * cos 2t

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Q: The Laplace transform of f (t) = cos(2t) + 2e-3t + 3t² is:

A: Consider the given function: f(t)=cos(2t)+2e-3t+3t2

Q: Use table of rules to find the Laplace transform of the following functions. 3s -2 4.1 F(s)= s-4s +…

A: Inverse Laplace Transform: If Fs be the Laplace Transform of a function ft that is if Lft=Fs,  then…

Q: Use the first translation principle and the basic Laplace formulas to find the inverse transform of…

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Q: 5s - 2 F(s) = s²(s – 1)(s+ 2)

A: F(s)=5s-2s2(s-1)(s+2)

Q: 1. Calculate the Laplace transform of the function 2. 1-t when 0 <t < 1 when 2 <t<3 everywhere else…

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Q: Show your complete solution in finding the Laplace transform of the following: 3.1. 3.2 3.3

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Q: 13. ) Find the Laplace transform of a) f) = 3e-t + 2 cos(t) – 5t3/2

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Q: Find the Laplace transform of erfc (1/√t).

A: Complementary Error Function:       "erfc is the complementary error function. The complementary…

Q: Find the Laplace transform of the function in the diagram. 3 1 3. 5678 -2 f(1) = f(r+ 3)

A: Given: f(t)=10&lt;t&lt;101&lt;t&lt;3f(t)=f(t+3)So period p =3Formula Used:For a periodic funtcion…

Q: Find the Laplace transform of t2 sin(3t) 18s-54 (s2+9)² 18s2-54 (s249) 30s2-54 (s2+9) 1252-54 (s2+9)

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Q: 1. Use the definition to find the Laplace transform of the given function t, 0<t<1 f(t)={2-t, 1st<2…

A: Find the Laplace transferom of the function

Q: 1 L-1 s2 – 6s + 10

A: we have to find the laplace inverse of the following

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

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Q: Find the laplace transform of e-6l Note that the Laplace transform of eat is L{cat } = 8-a

A: Find the Laplace transform of e-6t: Formula: The Laplace transform of ea t is 1s-a, i.e., Lea t=1s-a…

Q: The Laplace transform of f(t) - t U(t - 3) is:

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Q: Use the reduction of order formulas to find the inverse Laplace transform of (2s+2)/(s^2-6s+10)^2

A: Solution is here

Q: Find the Laplace transform of 0st<1 f(t) = {2 - t, 1st<2 2 <t

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Q: 4s – 12 52 - 6s + 13

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Q: 6. Suppose you are working out the Laplace transform of f(t) = e'+4t using the definition of the…

A: Answer

Q: 4s L-1 4s2+1

A: The solution are next step

Q: Find the Laplace transform of the following: 1. 4t + 12 2. 1.5 sin(3t-3)

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Q: 1. f(t) = cos(6t)

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Q: Determine the inverse Laplace 2s +3 transform of (s+4)

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

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Q: - 3s2 + 21s 42 Find the inverse Laplace transform of F(s) : (s – 3)3 -

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Q: 1 2) F(s)=- s'+4s

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Q: If the Laplace transform of x3/2 is then the Laplace transform of t3/2e 4s5/21

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Q: Evaluate the inverse Laplace transform: 4s+1 {부

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Q: Find the Laplace transform of (t-2)2et-1u(t-2)

A: Using the properties of the Laplace transformation, it can be written that:…

Q: 1 5) F(s)=- s-2s'

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Q: FInd the Laplace transform of a^t

A: We will formula for integration by part.

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: Determine the Laplace transform of e-2"cos/3t – t²e-2 3+2

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Q: Find the inverse Laplace transform of: - s-3 i) F(s) = %3D (s-3)2+4 s-2

A: It is known that:

Q: 1 (² 1

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Q: find the inverse laplace transform of; a)  (S^2+1)/S(S-1)(S+1)(S-2)

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Q: 1. Compute the Laplace transform of f(t)= u(t-3)e-²¹ (a) Using a table (ie using one of our…

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Q: Find the Laplace Transform of the following functions 2(1-e**) -ITS 11) 2 Ans. F(s)= S →t IT

A: We will write the function in terms of the Heaveside function and then find its Laplace transform.

Q: 1. Find the Laplace transform of f(t) = (t-3)u,(t)-(-2)u,(t). (s-3)e2 s +6s +13 2. Find inverse…

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Q: 1. Find the Laplace transform of eat and 1 for t is greater than or equal to zero.

A: Given: e-at and 1 To find the Laplace transform of the given expression.

Q: -{ts- S (s-1) (s+2)

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

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Q: 4. Use the dilation principle to find the Laplace transform of 1- cos 5t cos t given L{- In g² +1 t

A: We want to find Laplace transform of 1 - cos5tt Given L1 - costt = 12lns2s2+1

Q: 3. Determine the inverse Laplace transform of the following using the convolution theorem: 4 s²(S-2)

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