Q2: Find the inverse Laplace transform (show the details of your work) of 6. 38. (s+1)3

Q: Q5. Solve the following by using Inverse Laplace Transform s² S4-1 (ii) 3s-14 s²-7s+10

A: Given that, (i) s2s4-1(ii) 3s-14s2-7s+10 The objective is to solve by using Inverse Laplace…

Q: k divided by s2 + k2 is the inverse Laplace transform of,

A:

Q: Q1/ Find the laplace transform for the following 1 - e-6t sin(10t-8)

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Q: Q2: find the laplace transform for the: y = e-*, x.cos2x

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Q: Let Rt) be the inverse Laplace transform of 7s2 + 15s – 6 F(s) = (s? + 6s + 10)(s – 2) What is 3/2)?

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Q: 10 Find the inverse Laplace transform of F(s) = 2s – 10 g2 + 25

A: To find the inverse laplace transform .

Q: Q1: Find inverse Laplace transform of the following functions 10-4s 5) F (s) = (s-2)2

A: We can solve using first shifting theorem amd partial fraction

Q: find the inverse Laplace transform of the given function. 5.F(s)=2s−3s2−4

A: Given function is: Since the Laplace transform of: And

Q: B: Find the Inverse Laplace transform of the following functions S a) F(s) %3D ( s4 - 4s2 )

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Q: ind the inverse Laplace transform of F(s) = s2 + 5s + 4"

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Q: Q1/ Find the laplace transform for the following 1 - e-6t.sin(10t-8)

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

Q: Q1. Find the inverse Laplace transform of, 2s+12 F(s) s2+2s+5

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Q: Q4. s+13 Find the inverse Laplace transform of s²-6s+34

A: Introduction: Laplace transformation is important in the design of control systems. It is necessary…

Q: Determine the inverse Laplace transform of the function below. 6 s² + 49

A: Sol

Q: find the inverse Laplace transform of the given function. 1.F(s)=3s2+4

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Q: b) Find the inverse Laplace transform of the following function: 3s +6 F(s) = s² +9s + 5.

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

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Q: Q4: A-Evaluate: fx exdx, using Gamma function applications. B-Find the Laplace transform of: f(t)=…

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Q: 3s Find the inverse Laplace transform of the function F(s) = s2 – s – 6 - -

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Q: Determine the inverse Laplace transform of the function below. 3. s2 + 64

A: Given expression 3s2+64. We have to find the inverse Laplace of given expression. Formula will use…

Q: Q1: Find the inverse Laplace transform of the function: 2s3 + 9s² + 11s + 3 F(s) (s + 1)3 s

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Q: Q2:Find the inverse Laplace transform o using convolution 1 F(s) s2 - 3s

A: Here we will use Laplace transform method.

Q: Q5. Find the Laplace transform of following functions (a) t³eºt (b) 1-e² t

A: Sol:- (a) Le6tt3Use Laplace Transform table:   Ltkft=-1kdkdskLftFor t3e6t:  ft=e6t,…

Q: Q3): Find the Laplace transform of ( choose only one ) : a- f(t)=5t-2 b- f(t)= (3 + e“ ) ?

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Q: Q3\Find the Laplace transform of: a) t et * sin(4 t)

A: Given  f(t)= tet sin4t

Q: Q3) Evaluate The Following Inverse Laplace Transform 9s 1) L-1 (s²+k )2. 4k2 2) L-1{ } (s²+k )²

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Q: Q3: Find the Laplace Transform L÷ (1- cos at)

A: Laplace transferom

Q: when using the Laplace Transform Table, you need to always identify c, f(t), and F(s), etc. 2 Find…

A: find the inverse laplace transform

Q: What is the inverse Laplace transform of F(s) -? s4+2s2+1

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Q: 5. Find the inverse Laplace transform of the function as + b H(s) : (8 – a)2 + B2"

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Q: L{t - e3t} Do the laplace transform?

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Q: Q6/ Find the Inverse Laplace Transform 4-L-1( s-3 )

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Q: Q2\ Find the inverse Laplace Transform of the function in figure below (s² + 6s + 7 L-1 s2 + 3s + 2

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Q: Q6/ Find the Inverse Laplace Transform 1 2- L-1 (s²+9).

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Q: Q5:- A. Find the Inverse Laplace Transform of the following functions 1. F(s) = S³+3s²-s-3…

A: First I have made the partial fraction of F(s) and then by taking inverse Laplace transform and…

Q: Q1: Find inverse Laplace transform of the following functions 10-4s 5) F (s) (s-2)2

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Q: Q1: Find inverse Laplace transform of the following functions 3s 4) F(s) : s2+2s-8

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Q: Q3): Find the Laplace transform of (u²-u+e") du.

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Q: Q5: Find the inverse Laplace transform of: f(s) = 3²(²-3)

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Q: 3s Find the Inverse Laplace Transform of s2+4s + 13

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Q: Find the inverse Laplace transform of 7s (3s²+75)²

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Q: -3t cosh 2t

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Q: Q7 Find the inverse Laplace transform of 2 using Convolution theorem. (s+2)(s²+9)

A: Using Convolution theorem for Inverse Laplace transform,

Q: 2s Find the inverse Laplace transform: a s* + 4s +8

A: to find the Laplace transform of the given function proceed as follows…

Q: g: , लापलिया s²+6 (s²+1) (s²+4) Find the inverse laplace transform of using convolution theorem.

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Q: (s+1)(s²+1)

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Q: Q4/Find The Inverse Laplace Transform By Partial 3s-12 Fraction (s-1) (s2 +8)

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Q: Q2:Find the inverse Laplace transform o using convolution F(s) = 1 2 s -3s

A: Convolution Theorem: If L-1P(s)=p(t) and L-1G(s)=g(t)Then,L-1P(s)·G(s)=∫0tp(u)·g(t-u)duWe have been…

Q: 25 s3(s? + 4s + 5)

A:

Q: Q1 Calculate the Laplace Transform of the following functions. (a) (b) (c) 2t* - e-4t (1 - e-)2 e-…

A: We have to solve