L{te-2tcos2t} Using Laplace transform solved

Q: g(t) = 10rect [²(t+³)] ej²¹ 5 ej²nfot j2πfot

A: What is Fourier Transformation: A Fourier transform (FT) is a mathematical transformation that…

Q: 4. Find L'{ -}. Give table number. 3-5S

A: We have to find L-123-5swe are going to use the formulaL-11s-a=eat ——(*)

Q: laplace transform solve using long method.

A: We will find out the required solution.

Q: Find the inverse Lapace Transform    L^(-1) {1/[(s^2 +9)^2]}

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Q: the fourier Transform of the following signals is:-e^(-3t) u(t) * O 1/(3-jw) O 1/(3+jw) O 3/(1-jw) O…

A: Option (b) is correct. 1/(3+jw)

Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

Q: How to find the inverse Laplace transform of the expression? (3s-5) / (4s2+4s+1)

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Q: Let A = -127 0 -8 4 0 and 6- = 36 7 Define the linear transformation T: R2 → R³ by T(x) = Ar. Find a…

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Q: L{e-3t-2e sin 3t} rmine the following transform.

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Q: Find the Four

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Q: -1, 0 4

A: The solution are next step

Q: find Fourier coefficients

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Q: Solve the equation subject to the given conditions. d'y dy dx² dx 6y=4, y(0)=3, y'(0)=2

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Q: y"+2"-z' = 0 y' + z 221-ex - Yo = 0, y = 1 20= 1, 2 = 1

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Q: L{etsin3t} Using Laplace transform solve

A: we have to find Letsin3t we know the identity sin3t=14-sin3t+3sint So, L14-sin3t+3sintet…

Q: Determine the Laplace transform of the functions shown and simplify . 23t^2 - 4e^2t

A: Some Laplace formulas: L(t2)=2s3 Leat=1s-a

Q: f(x)= 2+ Show that fe L²(R) and find the L²-norm of the Fourier transform of

A: Answer given below.

Q: Solve the Fourier Transform of the function using the different Fourier Transform properties and…

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Q: x" (t) – x' (t) = te*, x (0+) = 1, x' (0+) = 0. --

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Q: f (t) = t?cos3t

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Q: Find z-transform for the functions (using properties) 1) x(t) = eat cos (w t)

A: We'll answer the first question since the exact one wasn't specified. Please submit a new question…

Q: Consider the following IVP: y"-10y' +9y = 5t, y(0) = -1, y'(0) = 2 Find the general solution. 5 50…

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Q: s + 8 s3 – 3s2 + 3s – 1 Consider the function F(s) = a. Find the partial fraction decomposition of…

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Q: 4s – 9 - F(S) %3D 4s² – 16s + 9

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Q: Find the Laplace transform of e^2tsin^3t

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Q: Solve all the Laplace transform in the image attach

A: Laplace transferom of the pice wise function, and Laplace transferom of divisibility by t theorem