f(t) = 4t3 – 2t² + 5

Q: Find the Laplace transform of the function

A: The Laplace transform of the function is represented as or , it is defined as , since the…

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Q: If L{f"(t)} = arctan ), f(0) = 2 and f'(0) = 1, find L{f(t)}. %3D

A: Given - If ℒf''t = arctan12 , f0 = 2 and f'0 = 1  To find - ℒft       Formula used - ℒfnt = snFs -…

Q: g(t) = t cosh 3t

A: Find the Laplace transform of the function             g(t)=t cosh(3t)

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: Problem 5 Using Laplace transform, solve y" - 4y + 7y = 0 y(0) = 3, y'(0) = 7

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Q: e-atu(t)

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Q: 6, 6 01 2 Lt

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Q: 12 d*x(t) 5 dt3 d²x(t) dt² + 5x(t) = 3cos(2t) d²x(0) 2, dt2 dx(0) 1, dt x(0) = 1 3s2 + 5s + 1 X(s) :…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: (ii): f(t) = sin (t + 7)+ e³' cosh 5t

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Q: 2. x(t) = e5t + cos 3t %3D

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Q: Find the Laplace transform

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Q: e at -e bt

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Q: Find the Laplace transform

A: Given,

Q: 5s – 2 F(s) s2(s – 1)(s + 2)

A: This question is related to inverse laplace transformation.

Q: . f (t) = 2 cosh 3t

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Q: (t – 1)* 24 24 12 4 1 24 24 12 4. O option 2 Option 1 24 - 24s- 12s2+ 4s° + s4 24 - 24s +12s2- 4s +…

A: Using Laplace Transform to Evaluate the Function (t-1)^4

Q: 17 s + 675 7 270 2 s - 4s + 85

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Q: 3. x(t) = 3t7 + 8

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Q: Find the Laplace transform of 1. f(t) = [1– Uz7(t)](2 sin t – sin 2t)

A: Given the function ft=121-u2πt2sin t-sin 2t  We will find the Laplace transform of ft

Q: f(t) = [1 – u2m(t)](2 sin t – sin 2t) |

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Q: 1. x(t) = 3t5

A: Given Function: x(t)=3t5 constant multiplication property of Laplace Transform:…

Q: b) 4 (€) -et cos (dt+물) cos (2dt +물) COS 3

A: