y = e√√²t sin√√2t √2 (s-√2)² + √2 A) √2 (s -√2)² + 2 √2 (s + 2)² + 2 B) 2 (s-√2)² + 2 9

Q: Find the Inverse Fourier transform of e) e 2 cw-4Jj 4- C4-wJj

A: Given: In this question, the given details are Here, the given expression is, e2(ω-4)j4-(4-ω)j To…

Q: Use the Laplace transform to solve the initial value problem y'" + y' – 2y = 2e*, y(0) - - 1, y'(0)…

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Q: Define Orthogonality Relations sine-sine?

A: We have to Define the Orthogonality relations for sine.

Q: • A • P

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Q: a city in Africa, an epidemic spreads during 50 weeks according to the model of a sinusoidal…

A: An epidemic spreads during 50 weeks according to the sinusoidal function given in the question. To…

Q: Find the Laplace transform L{sin2tcost2t}.

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Q: Verify that He follow egunbin is an ielartiky Fan o -sino 2 tano

A: We will use various trigonometric formulas to answer this

Q: Cm) =I+em -f," w GB) dB I tem- e cos h Cm-B) S8) dB

A: The problem is related with Laplace transform (Convolution theorem). Given that                 w m…

Q: Sinß Tanß lim Sin 26 B-

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Q: +23

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Q: Find the Fourier transform of -at TE|< 1 fCE) = otherwise

A: We have to solve the given problem.

Q: ėt, Cost Cos 2t

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Q: a) L{t.sin(t– 7)U(t-)} = ? 2 L{[(t-u) e* du} =? b)

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

Q: 4. Find the inverse Laplace transform of 1/(s² + 4s + 5) Enter your answer

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Q: Define Testing for cointegration when θ is unknown ?

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Q: Find the inverse Laplace of the given function: (s-7)/(s^2+2s+5) A en-t(cos2t) - 4e^-t(sin2t) B…

A: Since you have posted multiple question and we can answer one question. So, answered first question.

Q: Question(s) 2. Find the Laplace transform of t°cosh at 3. Find the Laplace transform of e-2tt sin³t…

A: As per Bartleby Instructions, only q.no 2 can be solved. Upload others separately.

Q: Discuss the condition for which fourier is nvegeat

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Q: laplace transforms fewel

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Q: what method is better to find a matriz a gauss or a gauss jordan?

A: Gauss elimination method: In Gaussian Elimination method, first we write the augmented matrix from…

Q: 3) L {cos лt}

A: The formula of the Laplace transforms of cos(at). L[cosat]=ss2+a2 L[cosπt]=ss2+π2

Q: Division by t ico E FCS thery fre).

A: Laplace transform of the function

Q: liminate the parameter

A: Given: a) x=tan t and y=sec2t -1 b) x=t+1 and y=1t+1 To eliminate: The parameter.

Q: Section 2.4 Chain Rule Please use chain rule &amp; explain all work, thank you.

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Q: Explain Drac Delta functoo

A: Given The given function is 'Dirac delta function'.

Q: On the funchion FEs)- -8S+5 s +81

A: Here, in this problem inverse laplace of the function is to be determined. 2 different formula has…

Q: (cot. 1)dr sin I cot z/3 cot?

A: Substitute t2=3cot2x-5 So, tdt=-3sin2xcotx dx and cot2x=t2+53 cot2xdxsin2cotx=-13t dtt2+53dxsin2x…

Q: S Given that cos bt}(s) = s²+b²¹ Click here to view the table of properties of Laplace transforms.…

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Q: Please help with Fourier transform of this signal. Thanks

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Q: 4. Using the translation (x, y)(x + 4,y-5) a) What is the image of A(2,-2) %3D b) What is the…

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Q: Find the order of the poles at the origin of the functions 2iz (sin z)³ and 1 sin (2²)

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Q: Find the Inverse Laplace transform of 5s-2 s² (s+2) (S-1) a) b) S (5² +1 (s²+a²)(s²+b²)' a² # b², ab…

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Q: Determine L{te2} by using the Laplace table. Hint: Use the frequency shift theorem

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