(4) 3 2s-4 1 s2+4s+4 s+2 s2+4s+5 5s-6 s2 –3s

Q: 2(s-3) L-1 s²–6s+13) (ix) 3s+2 (x) L- (s2-8s+25)

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Q: (iii) L-1 (3s-1. 5 (iv) L-

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Q: 1. Find the Laplace Transforms of: う。in3(

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Q: t² cosh 8t

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Q: Evaluate the inverse Laplace transforms of the following: 2 1 4 1. s+9 S- 5 20 2. E 1 [s+3 5s –3

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Q: -2s+6 -1 s2 +4

A: If Lf(t)=F(s), f(t) is called the inverse Laplace transform of the function F(s).…

Q: 4 (iv) F(s) = s2 +9 2s + 16 (v) F(s) : s2 + 4s + 20 3s – 15 (vi) F(s) %3D 2s2 – 4s + 10

A: The Laplace transform of a function is an integral that converts the real variable into complex…

Q: Find the inverse Laplace transform of the function 8-2 F (S) (S²+1) (S-1) es

A: As per our company guidelines we will solve the first part of the question, To get the solution to…

Q: Use the table of Laplace transforms to find the following Laplace transforms. Use s as your…

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Q: 6s L-1 (s² + 9)²

A: Apply the inverse transform rule that is if L-1Fs=ft  then L-1sFs=ddtft+f0  . The expression 6ss2+92…

Q: A. Find the Inverse Laplace Transforms of the following equations: 1.) L' {(4s-3) / ((s²+3s+2) )}

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Q: Apply the translation theorem to find the inverse Laplace transform of the following function. 3s…

A: To apply the translation theorem, we need to rewrite the given function in the standard form of the…

Q: (vii) f(t) = 4sin3t (viii) f(t) = 3cos2t

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Q: (vii) L-1_2(s+1) ls²+2s+10)

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Q: 2-1 7 s² +49 2

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Q: 4s (v) L-1 s²–16) 2 (vi) L- ((s-3)5)

A: By using the table of Laplace transform we solve the given problem as follows :

Q: Use the table of Laplace transforms to find the Laplace transforms of the following functions. cos²…

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Q: Find the inverse Laplace transforms of the following functions: 1 (a) (s − 3)² (s² − 6s +13) 3s + 2…

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Q: Lft etc ezt coth 3t dt 2t 8

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Q: (ix) f(t) = e-2t sin3t (xi) f(t) = 2e'(cos3t – 3sin3t)

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Q: FIS) = S-10 S2-65 + 8

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Q: Find the Laplace transforms of e-3tt sin(5t).

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Q: Evaluate the Inverse Laplace transformation of the following functions

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Q: a) f(t) = t¯/2 b) f(t) = t\/2 c) f(t) = t32. %3D %3D

A: To find the Laplace transform of the given functions using the definition of Gamma function.

Q: In numbers 3 and 4, evaluate the given Inverse Laplace Transforms. L-1{ 41 41 + + - (s+3)5} s-3…

A: The Inverse Laplace Transforms of the given functions are determined as shown below.

Q: What is the Laplace Transformation of this equation? cos² t - 1/2

A: To find the Laplace Transformation of the following function.