y" + 4y = g(t) sin(t) if 0 _g(t) = { 0 y(0) = 1 y'(0) = 3 t≤2π if 2π t

Q: Find the Fourier transform of d(t – 2). (a) ej2w (b) e-j2w (c) ejw (d) d) e-jw O (d) Moving to…

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Q: ∞ -3t Evaluate test sin 3t dt. [Hint: Use the definition of Laplace transform]

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Q: Determine the Laplace transform of the following 5t3 + 4t2-3

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Q: Determine the Laplace Transform of the following functions. Show your detailed solutions. sunt-1 5.…

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Q: Find the inverse Laplace transform of -1344+192s-5s5 -7s5+56

A: We have to find the inverse Laplace transform of the function.

Q: 1. (a) 2re2 (b) t²e'

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Q: 글 sin (26) + 좋cos (3t) CoS

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Q: Q3: Find the following Fourier Transform using properties only: F{e=2t+6+j2(t=3)u(t – 3)}

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Q: Find the Laplace transform of the function f(t)= (5e/t+4t)using the table of known as2+bs+c…

A: We first find Laplace transform and then comparing we find the value of c.

Q: find the fourier transform of the function St)= -at 2.

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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: Find the Laplace Transform of the following: 1) 5t5 - 6t + 5

A: Given: 5t5-6t+5 To find the Laplace transform of the given expression L5t5-6t+5 The formula for the…

Q: Please do the Fourier transform of the following formula u₁(xo, Yo) = exp(- exp(-xo+yo) wo

A: Given: u0x0,y0=exp-x02+y02w02 To find: Solution

Q: Let x(t)=5sinc(1.5t) +6cos(7/2) and h(t)=4sind(). Determine y(t)=x(t)*h(t) using Fourier Transform…

A: Let  and We need to determine y(t)=x(t)∗h(t).To solve this problem, we list the Fourier transforms…

Q: What is the Fourier transform of the following e-j10ntx(t)

A: The Fourier transform of the function f(t) is represented as F(k), it is defined as ∫-∞∞e-jktf(t)dt,…

Q: f (t) = eat+b

A: The solution is given below:

Q: a5u Find the Fourier transform of

A: The Fourier transform of the function f(x) is represented as If(x), it is defined as…

Q: Determine the Laplace Transform of est cos 5t .

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Q: Find the inverse Laplace transform of each function: -4s a) F(s) = -5/2.

A: We find out the Laplace inverse transform .

Q: find the Laplace transform of t²cos(wt)

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Q: s2 + 6s + 8 G(s) = s4 + 8s2 + 16° xnlanation calculation IS we

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Q: Q1. a) Derive the Laplace transform of 3e4t from first principles (i.e. without using the list of…

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Q: The automobile assembly plant you manage has a Cobb-Douglas production function given by P =…

A: Given,            The automobile assembly plant you manage has a Cobb-Douglas production function…

Q: Determine the transform of the following functions using any methods. e3t sinh 3t

A: We will calculate the Laplace transform of the given function . We have the following definition of…

Q: Find the inverse laplace 1.) F(S)= 5-2 5-45+5 laplace transform

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

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Q: Inverse Laplace transfor a. etsin4t b. 1/2etsin4t

A: This is a problem of Laplace transform.

Q: Determine the Laplace transform of a.) 2cos^2 t and b.) 3sin^2 2x. Write the complete solution…

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Q: a. L [2x5 + 3x³ - 10x² - 4] b. L[2 sin 3t 3 cosh 4t] c. L[5-3e-2x + 4 sinh 2x]

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