3. a. es ¸²-²5 S Find the inverse Laplace transform of each of the following functions. 5s² - 3s +31 b. (s + 1) (s² - 2s + 10)

Q: Q2. Fine the inverse of two Laplace transform for follo b. L-1 58 $²+9

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Q: 3. Find the Fourier transform of of 1/(1+t²).

A: Let  g(t)=e-at Then g^f=∫-∞∞e-ate-2πiftdt      =∫-∞0e-ate-2πiftdt + ∫0∞e-ate-2πiftdt…

Q: 1 s+7 5. L s(s² - 3s -10 SS

A: The given problem is to find the inverse Laplace transform of the given function.

Q: -25 -35

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Q: [6.1] A. Find the Laplace transform . fit) Sinh4t रजक) ? B. Find the inverse Laplace transform. よ…

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Q: (증) log| (s – 8) (s+8)

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Q: 3. Find the inverseapl transform of: A + 253 + 3s2 + 4s +5 s(s + 1) F(s)

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Q: Q1. Find the Fourier Transform in both f format and omega format. T 4 otherwise f(t) = A 0. T

A: Fourier Transform:      A signal xt and its frequency domain, Fourier transform  Xω is defined as:…

Q: Find the inverse Laplace transform of (s² + 4) s(s² +16)

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Q: Find the Inverse Laplace transform for the following function: S S4-452 F(S) = =

A: The given Laplace function FS=SS4-4S2. We have to find the inverse Laplace transform.

Q: F(s) = 8 $³-3s²-4s 00

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Q: Q2. Fine the inverse of two Laplace transform for follo a. L-1 3S3+3S² + S S²+S-6

A: The given problem is to find the Inverse Laplace transform of the given function. Given function,…

Q: Find the Inverse Laplace Transform

A: Consider the function Fs=2s+16s2+4s+13. To determine the Inverse Laplace transform of Fs. The…

Q: L-12s +3 l(s+1)=S*

A: Given: L-12s+3s+12

Q: e-9s F(s) = g2 – 3s – 10 ||

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

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Q: Q9. Use Laplace transform to solve the ODE. X-4x +3x =-8cos4t, x(0) =0, x(0) = 0 %3D

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Q: Q4: Find the inverse Fourier transform of the spectrum: - 2s w S0 X (w) = 0 swS2 -- 0.W EIN I 0

A: Definition:

Q: s2 – 2s + 2 f(s) f (s) = ln- s2 – 2s + 1

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Q: 2. Find the inverse Laplace transform of the following function -3s F(s) a 1 (s2 –6s+25) + + s-b…

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Q: (A) Find Inverse Laplace transform for the following functions. 25+4 1.- 2.tan-¹) (5²+45+5)²

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Q: 6s + 3 s4 s² + 4 +5. 2

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Q: Determine the inverse transforms of the following. 2s 6 (a) (c) (S-2) (S-4) (b) 5s-8 s(s - 4) $²25…

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Q: B: Find the Inverse Laplace transform of the following functions: (b) F(s) = = S-1 2s²8s + 11

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Q: Find the exponential transform of the function {1, Pi/2<x<pi. and 0, otherwise} and write f(x) as a…

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Q: M=15 (M+3)z² (z+3)(z-1)²* 2. Find the inverse Z-transform of the function F(z) =

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Q: · findd the fourier sine transform of f(x) = 7 A 9x 0<X<9 otherwise

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Q: Write the function in terms of unit step functions. Find the Laplace transform of the given…

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