Find the inverse Laplace transform of F(s) = e^−3s / s^2 + 1

Q: Find the Fourier transform of of 6e-ltl.

A: We find the F.T.(Fourier transform) of 6e-|t|.

Q: xn-1 ax

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Q: Using Laplace transform, solve 2 + y = 3t with y(0) = 3 and determine y(5) in 4 decimal places

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Q: Find the Laplace transform of tan(t). Show your full steps Solution.

A: Laplace transform

Q: Find the Fourier Sine Transform of e-t and hence find the Fourier Cosine Transform of te-t.

A: Fourier sine transform of e-t is ∫0∞e-tsinωtdt. Calculate it:  ∫0∞e-tsinωtdt=∫0∞e-teiωt-e-iωt2idt…

Q: What is the Laplace transform of 2?

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Q: メ - Hx = 8 ; t-0,メ=? %3D

A: Given x.-4x=8  at t = 0 , x = 2

Q: will you show me how to use Laplace transform for this?

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Q: Solve by Laplace transform 4 -zt )ycn) yCt-u)du -te

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Q: Find the inverse Z-transform of x (z) = tanh z

A: The given data is: xz=tanh-1z To find inverse z-transformation of the given data.

Q: Derive the general formula for the Laplace transform of sin bt.

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Q: dt (te-¹u (t))?

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Q: Obtain the laplace transform of

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Q: Determine the Laplace transform of: L{et sinh 3t}

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Q: Confirm that the standard Fourier forward transform of the double-sided decaying exponential signal…

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Q: fCt = [ Htu (t-π) Jun (37)

A: As per the question we are given the following function : f(t) = [1+u(t-π)]sin(3t) And we have to…

Q: 3ヒ Sinh-

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Q: What

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Q: Find the sine Fourier transform for f (x) = sin æ, x < 0,

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Q: 2. t5/2 sinh 4t

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Q: 5 sinh (3t) +4 cosh (3t)

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Q: Laplace transform of 8(ta) is ea as True False

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Q: In general, if two functions have the same Laplace transform, these functions cannot differ over an…

A: Solution

Q: Laplace transform of the convolution integral of

A: Note:- Convolution Integral Theorem:- If function ft  and  gt are the piece-wise continuous function…

Q: Determine the Laplace Transform of e 12 cos v 7t + sinV5 - 3

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Q: Find the Laplace transform of sinh3 4t

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Q: Solve for the laplace transform of e^(at) cos bt using using the integral formula for laplace…

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Q: Find the Laplace transform of the function f(t) = 1.   And can you please explain each step to…

A: Given function is: ft=1 Ton finds the Laplace transform of the given function.

Q: Find the Laplace Transform of et−2

A: L(eat)=1s-a.

Q: ind the invers

A: First we will find the value of the given integral: intsinf 1/[u2(u2+1)] du Then we will find the…

Q: Find the Laplace transform by the method of definition.

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Q: What is the Fourier transform of

A: This is a problem of Fourier Transform.

Q: What are Practical uses of laplace transform in th efieldof engineering

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Q: sin(2t) cos(2t)

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Q: Show that (a) L-1 = sin(at) - tcos(at) %3D (s²+a²)²) (where L indicates imverse Laplace transform)…

A: L-11s2+a22=12a2sin(at)-12a2tcos(at)

Q: If a function "f" is not piecewise continuous on [0, infinity), then its Laplace transform will not…

A: True

Q: Starting from the definition of the Laplace transform, calculate: a) L{(cosh(2t)}

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Q: sinh³ 4t

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Q: Find the inverse laplace transform of e-2s

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Q: Find the Fourier transform of eiax

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Q: Find the Fourier transform of (x) 3x iPxK1 O if|x1>1

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Q: What is the Laplace transform of 7sin (6 t) sinh(6 t)

A: What is the Laplace transform of 7sin (6 t) sinh(6 t)

Q: How is the Laplace Transform defined? What is its notation?

A: Laplace transform of the function f(t) is defined by   ∫0∞f(t)e-stdt

Q: Find the inverse z-transform of

A: In this question, the concept of z-transformation is applied. Z-transform In its most basic form,…

Q: Calculate the inverse Laplace transform

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Q: Solve for the laplace transform of e^(at) cos bt using using the integral formula for laplace…

A: The solution is given as

Q: Solve for the inverse Laplace transform of O 4cos at - 3 sin at 4 sin at – 3 cos at 3cos at - 4 sin…

A: It is known that: L-1a·fs+b·gs=a·L-1fs+b·L-1gsL-1ss2+a2=cosatL-1as2+a2=sin(at)