Give the Inverse Laplace Transform of s/((s+2)(s^2+4)). * O -1 + (e^(2t))cos(3t) O t+ (9/4)e^(-2t) - (1/4)e^(2t)+cos(2t) (-1/4)e^(-2t) - (1/4)cos(2t) + (1/2)sin(2t) O - 2e^(-2t) - 4cos(2t) O (-1/2)e^(-2t) - (1/4)sin(2t)

Q: Find the inverse transform of the equation below. R(s) = (S+7) / (s^2-3s-10)

A: We have to find inverse transform of R(s).  Firstly by partial fraction simplify the fraction,  Then…

Q: Given: Pu The given boundary value problem is a² и (0, г) %3 dx2 0, t> 0, и (х, 0) —D f (x) and ди…

A: Given boundary value problem is a2∂2u∂x2=∂2u∂t2                       (i) With boundary conditions…

Q: Determine the Inverse Laplace Transform of F(s)=(13s + 8)/(s^2+10s+169). The answer is…

A: Ans:

Q: To find the Laplace transform of e^(6t)cos(at)you would substitute  into s/(a2+s2) which gives ?…

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Q: Use the first translation principle and the basic Laplace formulas to find the inverse transform of…

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

A: Solution

Q: 7.2.12 00 Let f(t) be a function on [0, a0). The Laplace transfom of f is the function F defined by…

A: We have to find Laplace transform of given function:

Q: what is the discrete fourier transform of y = 001010

A: Introduction: Discrete Fourier transformation is applied when the signal is discrete and finite. For…

Q: What is the Laplace transform of f(X)=e^(-6x)

A: Calculate Laplace transform: ∫0∞fxe-sxdx=∫0∞e-6x·e-sxdx                       =∫0∞e-s+6xdx…

Q: I don't understand why the four transform F{(a/sqrt(pi))*e^-a^2*x^2)}=e^-alpha^2/4a^2. Can you…

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Q: do the inverse laplace transforms of the rational function F(s)=(s-2)/s(s^2 -4s+8)

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Q: L(sin Vf) = V. 2s

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Q: Find the laplace transform of H(t) when H(t) = (e^2t-3)(e^2-t)

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Q: Sº 2 19. s³ +85² + 7s

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Q: Find the inverse Laplace transform. F(s) = 1/s - 2/s^5/2

A: This question related to inverse laplace transform.

Q: the laplace transform of (t)= t^1/2 as F(s)=sqrt of pi/s, find Laplace transform of 7t^3/2.

A: L7t32=7Lt32Use Laplace Transform table:   Ltn-1/2=2n-1!!π2nsn+1/2=7·3π4s52=21π4s52

Q: find 2d Fourier transform of e^(-4pi*(x^2+y^2)) the answer is e^(-pi(x^2+y^2)/2) why?

A: Find the 2d Fourier transform of the given function and the 2D transform of f is defined by the…

Q: Find the inverse Laplace Transform F(s)= 2s-6/s^2+9

A: We have to find the inverse Laplace transform of .Now, consider Apply the inverse Laplace transform,…

Q: 6. The Laplace transform of e^-5t is * O (1/5)-s O (1/s)-5 O 1/(5-s) O 1/(s-5)

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Q: suppose x (t) hasFourier transform X (w) = e^¯w find Determine transforms of x (2t) and x (t + 1)

A: Fourier transform of these functions are found by using properties of Fourier transform.

Q: Find the inverse Laplace transform of the function F(s)=s + 2/(s^2-8s+25)

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Q: use the accompanying tables of Laplace transforms and properties of Laplace transform to find the…

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Q: Find the inverse Laplace Transform F(s)= 1/s^2-6s+10

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