Find the inverse Laplace transform L-{F(s)} of the function F(s) s2 + 9s – 10 NOTE: The answer should be a function of t. L-'{F(3)}

Q: 8 2. 5s (s²+4).

A:

Q: 3 Laplace Transform of (sin(2s))³

A: Given:

Q: What is the Laplace transform of 2?

A:

Q: Find the Inverse Laplace Transform of 1 s²-8s+25

A: The given function is 1s2-8s+25 completing squares 1s2-8s+25=1s2-8s+16+9=1s2-24s+42+9=1s-42+9

Q: Find the Laplace transform of: 1. f(t) = e(-3t) sin(2t) cos(3t) cosh(t)

A: Given that 1) f(t) = e-3tsin (2t) cos (3t) cosh (t) 2) f(t) = 1+sin t + (8t)15 + t2cos 3t We have to…

Q: Find the Laplace transform of L(t5)

A: The Laplace Transform of f(t) is given by, L{f(t)}=   ∫∞ 0   e^-stf(t)dt Here f(t)=t^5 So, L(t^5)= ∫…

Q: Q3/ Find Fourier cosine transform of the function f (x) = 2x ,0 < x < 4

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Q: 3s +5 is 53- s2 The inverse Laplace transform of the function

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Q: Find Fourier transform for f (t-2)

A: We have to solve given problem:

Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

A:

Q: { 1,-< |x| < = (0, anywhere else 2. Find the Fourier transform of the function f (x) =

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Q: Use differentiation in time domain to solve the the Laplace transform: y"-y'-6y=0; y(0)=6, y'(0)=13

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Q: Find the Laplace transform of t cosh 2t

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Q: 7. Given that the Laplace transform of te is F(s) =- (s + k) Laplace transform of te" without using…

A: The solution is given as

Q: 8. Find the function whose Fourier sine transform is the following function. S[u] - 2 0 x = [1, 2],…

A:

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: L[sin(3t - 4n)]

A:

Q: 1 If the Laplace transform of ewt is , the Laplace transform of t coshtis S-W

A:

Q: Determine the Laplace Transform of est cos 5t .

A:

Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

Q: 5. Use Laplace transform technique to solve , y"-y'-6y = 0, Given y(0) =1 and y'(0) = -1

A:

Q: 27 (- 1 -' -p = 1, 2, 3, ... p . Find f (x) if its finite sine transform is given by f.(P). where 0…

A:

Q: x(t)=sin(t-3T)

A: Z transform

Q: 1 Find the inverse Laplace transform of X(s) = given ROC: -1<o<3. (s + 1)(s – 3) x(t) =

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Q: 2 What is the Laplace transform of 2cos t?

A:

Q: Find the Laplace transform of f (x) = 3 sin 3x – 2e-2x

A:

Q: 1- -の+9

A: we can use following concepts (1) to (4) , to solve given problem:

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: Express the function below using window and step functions and compute its Laplace transform. Ag(t)…

A: From the given graph of function g(t), it can be seen that   t&lt;5π14 and also g(t)=0. When t≥5π14,…

Q: Find the Laplace Transform of et−2

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

Q: -4s Using Laplace transform tables or otherwise, find L-1

A: Please check step 2 for the solution.!

Q: Q2:Find the inverse Laplace transform of e-2s F (s) s2 – 2s – 3 - -

A: We have to find the inverse Laplace transform of given function.

Q: 2T (-1Y- Find f(x) if its finite sine transform is given by f, (p) = where 0<x < T. -, p = 1, 2, 3,…

A:

Q: 5. If the Laplace transform of f(t) find F(4s)

A:

Q: [a² - x², Find the Fourier transform of f(x)= • 0, and hence 1C. |x| > a evaluate (Sin sint-t cost…

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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: 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: Using Laplace Transform, solve the following initial value problem Зу' - 4y — sin 2t У) --

A:

Q: Find the Fourier Cosine Transform of the function hel 0026.png e2x + be3* f(x)= 2 +be 3.x e6.x if…

A: To find- Find the Fourier Cosine Transform of the function fx = e2x + be3xe6x2 if x &gt; 0 if b =…

Q: +5s, The inverse Laplace transform of is 1 1 5 5 f(t) = S sin 5t - sin

A: It is required to find inverse Laplace transform of L-11s3+5s. That is, L-11s3+5s=L-11ss2+5 Here…

Q: Find the Laplace transform of e-2t(sinh(2t))2.

A:

Q: 3. Find the Fourier transform of f(x) = {1, |x| 1 Also evaluate .00 Sinx dx

A:

Q: Can you provide 2 Examples of Finding Laplace Transform containing t and exponential using the…

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Q: 3s-2 F (s) 2s2 –6s-2

A:

Q: Find the inverse Laplace transform of -3888+48s²-3s5 -81s+s6

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Q: Find the inverse laplace transform of 2s s2+9

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Q: Solve differential egualions by using laplace transform fCW)-5)'(x)+6f(x)=0 where for-o and flo)=1.

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Q: Find the inverse Laplace transform 01 2 Ou44(1-4) usinh(t — 4) O sinh4(1-4) 0 1 u4cosh4(1-4) 01 4…

A: Given problem:- Find L-1e-4ss2-16

Q: transform

A: