a) Using the first shift theorem, when necessary (see below for a statement) write down the Laplace transforms of:- i. fi(t) = -5e-³t, t≥0, ii. f₂(t)=e-³tt, t≥0, and hence find the Laplace transform of: g(t) = (2t - 5)e-3t, t≥ 0.

Q: Find the Laplace Transform of f () =2 sin a +3 cos 2z.

A: This is question of laplace transform . Solution is given below

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A: note : As per our company guidelines we are supposed to answer ?️only the first question. Kindly…

Q: Q.1) Find the Laplace transform of the following: a) f (1)=3sin2 21 b) f (1)=3 +° c) f (1)=2cos2t…

A: To solve the following problem we will use the standered result of laplase transformation

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Q: Find the Laplace transforms of the following function: g(t) = 7e-#(6t – e*)².

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Q: 32-P(t):l0+8t. 33. f(t): expl-5t] +4t" 34-f(t): : et [coslut) +6]

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

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A: The solution of the problem is given in the next step.

Q: L[3t³e=3t] а.

A: Since you have posted a multiple question according to guildlines I will solve first question(a) for…

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A: The Laplace transform is a mathematical technique used to solve linear ordinary differential…

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Q: (2 + + +9 4²5 ) (7 + 27 ) = (+) 5 7 Find Laplace transform of the function.

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Q: Find the Laplace transform of the following functi a t-5/2 b.) t5/2 sinh 4t

A: Thank you for the question. According to our guidelines we can answer only  first question and…

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Q: 2. Calculate the inverse Laplace transform: 2s (a) C- C-¹ { 25+32 }; (b) C-¹ ( 25-3₂} 2s L-1

A: We have to find the Laplace inverse transformation of and

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

A: Solution

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Q: A) Find the Laplace transform of the following:- 3) L(Vi +e-t)* 4) L(e2 cosh 3t - e t5)

A: Laplace Transform: Given a function defined for all real , the Laplace transform of is a function of…

Q: find the Laplace transform of t²cos(wt)

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A: Laplace transform of given function using Translation Theorem.

Q: 14. Find the inverse Laplace transform of 2s+1 a) F(s) s²+25

A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: t2, 0 2

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Q: Use Theorem 7.4.1. THEOREM 7.4.1 Derivatives of Transforms If F(s) = £{f(t)} and n = 1, 2, 3, . . .,…

A: If f(t) is a function of t defined for all positive value of t, then the Laplace transform of the…