4. The Laplace transform of 3 is O 1/3s O 3/s O 3/s^2 O 1/s оо

Q: lo s²+5s +4 fs) = (క-GS+!ls-6) (s®)

A: To solve given question first we write the partial fraction decomposition of given  question and…

Q: What is the Laplace transform of sint cost? 1 OF +4 O O O 1 s+2 1 2t+2 1 2s+4

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Q: Determine the inverse Laplace transform of Fisi= (s+1)(s+2)

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Q: 너 S 2 (5²+4) 2

A: We need to find the value of L-1{ss2+42}

Q: Find the Fourier transform of 4x if 121 <a f(x) - o if 1x129

A: To find the Fourier transform of the function  fx=4x,  if x&lt;a0,    if x&gt;a

Q: Determine the Laplace transform of f (t) = 6e* +e* -9 O 16/s-5)] + [1/(s+3) - 19/s] O 16/(s+5)] +…

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Q: Laplace transform of {(e^2-t)U(t-2)}

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Q: Find the Laplace transform of e- (s+1)? s-1 (s-1)2 s+1

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Q: Find the Laplace transform of t2 sin(3t) 18s-54 (s2+9)² 18s2-54 (s249) 30s2-54 (s2+9) 1252-54 (s2+9)

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Q: L [3²+ 3s 5² +45+13 २ ·]

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Q: What is the Laplace Transform of e^t?.

A: To find the Laplace Transform of et  L(et)   By definition, L(f(t)) = ∫0∞ e-st  f(t)  dt

Q: kpression for "12 times x."

A: Times means multiplication. Sometimes it is denoted by dot.

Q: of s- 45 1.

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Q: 1 5. Find L s*-81

A: First we split by partial fraction and then apply the laplace transform.

Q: Laplace Inverse Transform of S+7 s²+25+5

A: Given :  F(s) = s+7s2+2s+5. To find :  The inverse Laplace transform of F(s).

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

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Q: Find the inverse Laplace transform. 1.1.1 s^2/(s^2+1)^2 1.1.2 1/s^2+4s+20 1.1.3…

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Q: The Laplace transform of L(cos 5t cos 3t) is O 1 3 82 +22 s2 – 82 O 1 2 s2 + 22 s2 + 82 O 1 3 8+ 22…

A: The solution is given as

Q: The inverse Laplace hransform F(s) = 31 + Inci2-s)-nc19-s) is of %3D

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Q: 3. The Laplace transform of t cos 4t is * O (s^2-16)/(s^2+16)^2 O (s^2+16)/(s^2+16)^2 O…

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Q: Compute the Fourier Transform of the following function (3 , –n < x < o (1 , 0<x< TI f(x) =

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

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Q: Compute the Laplace transform of (1) = e-³ u(x-4)

A: Consider the given function,The transformation rule is defined as,And,Now, find the value of .Use…

Q: (1 + e4)?

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Q: f (t) = 3e " cosh (In 2r)

A: This is a problem of Laplace Transform.

Q: The Laplace Transform in figure below is * L[-t x e-at x u(-t) O -1/(s+a)^2 O 1/s 1/(s+a)^2 1/s^3 O…

A: Let's find.

Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

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Q: Solve for the inverse Laplace transform of st+3s"+s? 01+3t + 2t2 O 2+6t- O01+3t + t? O1+3t + 3.

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Q: L[-t x e-at x u(-t) = O 1/s^2 O 1/(s+a) О 1/s O -1/(s+a)^2 O 1/(s+a)^2 O 1/s^3 O 1/s O -1/(s+a)

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Q: Find the Laplace transform of te s+1 (s+1) (s-1)2

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Q: 5. Find the general solution to x₁ = 4x₁ + 2x₂ + 3et, x₂ = 2x₁ + x₂ + et using Laplace transform.

A: The given system of differential equation is  x1'=4x1+2x2+3etx2'=2x1+x2+et To find the general…