10. Solve the following IVP using Fourier Transform: -00 < x < oo, t> 0, u(x,0) = e, -0

Q: Describe in your own words the method you would use to find the Laplace transform of the first…

A: The Laplace transform of function f(t) is given by Lft=∫0∞e-stft dt and is denoted by F(s). We can…

Q: /find the Fourier integral representation of the given function. x0 -x le

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Q: -25 -35

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Q: Solve the initial value problem using Laplace transform y" – 4y'+4y= 3te", y(0)=4, y'(0) = 2

A: The given question is related with Laplace transform. Given that,                    y'' - 4y' + 4y…

Q: Look for the inverse Laplace transform L^ -1 {s-2/(s^2+2s+26}

A: Given expression is L−1s−2s2+2s+26 We have to find the inverse Laplace transform. First of all, we…

Q: L{f;je*sin(t- t)dr}.

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Q: Let f(t) = e^t if 0=1   Write f(t) using step function and find the laplace transform. Also,…

A: We have to write f(t) using step function and find the laplace transform. Also, draw the graph.

Q: 3. Use definition (not tables) of L{f(t)}= [ e"f (t)dt to find L{1*e" } . Assume s>9

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Q: t3 - 3t2 + 5t – 8

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Q: find the fourier transform of logx u(t)

A: Unit step function: u(t)=1t≥00t&lt;0 Fourier transform of a function fx is  Fp=∫-∞∞fteiptdt…

Q: Compute the Fourier transform of the following function: f(x) = e-a(r-x0)²+iqx (5) where a > 0 and q…

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Q: Determine the Laplace Transform of cos*t

A: cos3t≡(cost)(cos2 t) cos3t=cos(1−sin2 t) cos3t=cost⋅1/2(1+cos2t)…

Q: Solve the following initial value problem y" + 9y = 3 , y(0) = 1 , y'(0) = -3

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Q: Find the Fourier Transforms of the indicated function: f (x) = e-3x for x > 0 and f (x) = e2x for x…

A: We have,fx=e-3xx&gt;0e2xx&lt;0 To Do: Find the Fourier Transform of the given function.

Q: Find the Laplace transform of the given periodic function 0<t<1 f(t) 1<t< 2

A: Given ft=00&lt;t&lt;1t1&lt;t&lt;2

Q: Find the Fourier transform of f(x) = e2/(202) Hint: Complete the square in the z terms in the…

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Q: dy cosx+ ysin x =1 dx

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Q: a"(t) + 16x(t) = 5 sin t, a'(0) = x(0) = 0 %3D

A: First we have to take Laplace transform of the given equation.

Q: Determine the transform of the following functions using any methods . e^3t sinh 3t

A: Given function is e3t sinh3t

Q: -at² - 2 @ Show: Sē jeate dt - 17€ е = a 2 -at 1 Find the Fourier Transform of f(t) = ē

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Q: What is the Fourier transform of: f(t)=sgn(t) e? Your answer should be expressed as a function of w…

A: Given a function ft=7i2sgnte−8t Explanation ft=7i2e−8t       for t&gt;0 ; t&gt;0 sgnt=1−7i2e8t…

Q: f(x)= == ¹xcl! Obtain the Fourier transform of

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Q: Find the Laplace transform of sinh3 4t

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Q: A piezoelectric transducer has an input Solve the differential equation to find e. For t = T-, find…

A: From the given information:

Q: Solve the Laplace transform of: 3 cos 8t + 2 sin 8t

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Q: у" — 4y' + 13у %3D е2х сos 3x

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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: 5. Laplaceovou transformáciou riešte rovnicu y" + 4y' + 3y = 8e', y(0+) = y'(0+) = 0.

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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: d²x dx + 4 ·+ 5x – 10; when t = 0, x = 0,x = 0 %3D dt2 dt

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Q: Find ℒ{sin(at)}. For what values of s is this transform defined?

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

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

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Q: Find the Laplace transform of the following signal which is periodic with period 20. 20 15 20 t -201

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