b) Find the Laplace transform, inverse Laplace, and ODE solution by Laplace method of the following functions (choose FOUR only). 1) f(s) = 2) f(t) = cos(4t) (e³t + 5)² 3 $-5 8(s+1) (s-5)2+15 4) y - 2y + 5y + 8 e* = 0, y(0) = 2, y (0) = 12 + 5) f(s) = 3) f(t) = s+2 S³+952+24s+16

Q: Find the Inverse Laplace Transform. Y (s) (s-5) (s² -6s +25) O est cos(4t) – e3t sin(4t) O est…

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Q: Q.1) Find the Laplace transform of the following: b) f (1)=¥ +°_ d)f (t)=4³e-21

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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: When calculing the Laplace transform of the function f(t)=e^2t.sin(4t) is obtained as a result:

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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

Q: Q.5A/Find Laplace Transform of the following functions 1.f(t) = 6e-6t + +5t3-9 2./(t) = (42marke)…

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Q: 2C

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Q: 2. F(s): = 3s² +5s-4 S4

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Q: - Find the Laplace transform of each given expression ( (1) 3 cos (2 t) e-2t + (t - 2)²

A: Since you have posted multiple questions, we will answer the first question for you. If you want any…

Q: 6. Find the inverse Laplace transform of the following functions. a) F(s) = ln (5+3). UTMUT TM UTM…

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Q: A. Find the Laplace transform of each given expression (5 (2) i++ t sin(3t) + y, where x = z(t), a…

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Q: 5. Find the inverse Laplace transforms of the functions given. Accurately sketch the time functions.…

A: given that a) F(s)=3e-2ss(s+3) b)F(s)=e-2ss(s+1)   find the inverse laplace transform of the above…

Q: Find the Laplace Transform of the following functions: F(8)= F(s) = = F(s) = f(t) = 6e -6t +91² + 5t…

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Q: 5.PT. PLN has $140000 to invest. The alternative investments and the corresponding annual returns…

A: According tot he given information it is required to form an linear programming problem for the…

Q: d. Find the Laplace transform of f(t) = sin22t + cos22t + 1 ۵. 4/s b. 3/s 2/s 1/s ن d. 3t-5t²-2(t-

A: Given that the function ft=sin22t+cos22t+1

Q: Find the Laplace transform F(s), given that f(t) is: (a) 2tu(t – 4) (b) 5 cos(t) 8(t – 2)

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Q: Q3. (a) Consider the continuous function f(t)=sin(2xnt). i) What is the period of fſt)? ii) What is…

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer three sub-parts at a…

Q: f(t) = [1– u2m(t)](2 sin t – sin 2t) U2n

A: Some of the properties of Laplace transformation Lsinat=as2+a2Luc(t)=e-cssLuc(t)g(t)=e-csL[g(t+c)]

Q: Find the inverse Laplace transform L-{F(s)} of the function e-2s F(s) : %D s2 + 5s – 50 NOTE:…

A: Given that Fs=e-2ss2+5s-50 We have to find the inverse Laplace transform of Fs that is L-1Fs For…

Q: Q1: Find inverse Laplace transform of the following functions 3s s²+2S-8 4) F (s) = 5) F(s): = S+12…

A: The given problem is to find the inverse Laplace transforms of the given functions.

Q: If the Fourier transform of f(t) = is F(w), express the Fourier transform of g(t) = 2 0<t<1 0…

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Q: 2. Determine the Laplace transform of the given function a) f(t) = e³¹t4 b) f(t

A: Laplace transform

Q: Suppose solving an equation by Laplace transform results in 6 s Y(s) = s² + 64° Evaluate y(").

A: y(s)=ℒ(6ss2+64) =-3(2si(8s)-π)sin(8s)-6cos(8s)ci(8s) y(π)=-3(2si(8π)-π)-6cos(8π)si(8π)

Q: Compute the Laplace transform. Your answer should be a function of the variable s L{3+ u(t)e sin(7…

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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 inverse Laplace transform of the function G(s) = as + b s² +82 .a = = 4, b=9, ß = 9.

A: We have to find the inverse Laplace transform of the function  G(s)=as+bs2+β2.a where a=4 , b=9 ,β=9…

Q: Find the Laplace Transform of the following functions: 1. f(t) = (2e−4t + sin t)² 2. f(t) = 4t cosh…

A: To find: Laplace transform of the following function:-               1. ft=2e-4t+sint2…

Q: 5. If X any Y are sets, then X-Y= {r€ X: 1¢Y} If X is open set and Y is closed set. Prove that (a)…

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Q: 7. Use the Laplace transform to solve the difference equation 3x (t) 4x(t-1) = 1, x(t)=0 for t < 0.…

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Q: Find the Inverse Laplace Transform. F (s) = 6s-54 82 +16

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Q: 7. Graph the function f(t)=2U(t-1)-3U(t-2) and find its Laplace Transform 8. Write the function…

A: Remark : As per new guildline,  in case  of posting multiple question we will answer of only first…

Q: 2. Determine the Laplace transform of the given function. a) f(t) = e³¹t4 c) f(t) = est sin(3t) e)…

A: Recall the formula of Laplace transform: For any non-negative integers L{tn}=n!sn+1 .The property of…

Q: Def (Function): A binary relation RCX X Y is called a function from X to Y, written f:X →Y if -…

A: The concepts have been explained with examples.