Find the inverse Laplace transform of the given function using the Convolution theorem. 1 (5) F(s)= s(s2+1)

Q: 6. Find the iverse Laplace transform of the following functions. (a+1)e ¯ a) F(s) = %3D 2(s – 1)

A: Given:

Q: determine the inverse Laplace transform of the given function.

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Q: 4s – 9 f(s) = (s – 3)3

A: We have to find inverse Laplace transform

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: find the inverse Laplace transform of the given function. 7.F(s)=1−2ss2+4s+5

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Q: determine the inverse Laplace transform of the given function.

A:

Q: Evaluate the Inverse Laplace Transform of the given functions. 1. F(s) s2+2s+1

A: Inverse Laplace transferom

Q: Find the inverse Laplace transform of the following: H(s)=2e-s/s2(s+3)

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: 3. Find the inverse Laplace transform of the following. (a) F(s) s2 + 3s – 4

A:

Q: Evaluate the inverse Laplace transform L^-1 { (1 + e^-2s)^2 / (s + 2) }

A: Solution

Q: Find the inverse Laplace transform of 1 G(s) = s2 – 4s + 5

A: Given,

Q: determine the inverse Laplace transform of the given function.

A: Given: The function Divide s+2 by s2+9 separately.

Q: Determine the inverse Laplace transform of the following using the convolution theorem: 4 s²(S-2)

A: Given that 4s2(s-2) The objective is to determine the inverse Laplace transform by using convolution…

Q: find the inverse Laplace transform of the given function. 6.F(s)=8s2−4s+12s(s2+4)

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Q: Find the inverse laplace transform of the followings; a)  X(s)=(s+2)/(s^2+2s+5)…

A: a) Xs=s+2s2+2s+5 Apply Laplace Inverse transform…

Q: determine the inverse Laplace transform of F.

A:

Q: Find the inverse Laplace transform L-{F(s)} of the function 2 F(s) : s2 + 3s – 4

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Q: 4s+2 F(s) s+6s+34

A: Given function is- (i) L-1F(s-a)=eatL-1F(s)(ii) L-1ss2+a2=cos(at)(iii) L-11s2+a2=sin(at)a…

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

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Q: Find the Inverse Laplace Transform of : F(s) = 3 / s2 (s2 + 4s + 4)

A: use partial fraction and then apply laplace inverse on both side...

Q: Find the inverse Laplace transform of: S-3 F(s) = (s-3)2+4 S-2

A: It is known that:

Q: T-1 S '(s-2)4 2)4]

A:

Q: 5s – 2 F(s) s2(s – 1)(s + 2)

A: This question is related to inverse laplace transformation.

Q: Find the inverse Laplace transform of F(s)=2s+3/(s+1)(s2+9)

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Q: 1 2) F(s)=- s'+4s

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Q: Determine the inverse Laplace transform of the given function 25 L-1 [s²(s² + 4s + 5)]

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Q: 1 5) F(s)=- s-2s'

A:

Q: Find the Inverse Laplace transform of F(s) = 1/(s+1)(s^2-1)

A: Given, Fs=1s+1s2-1 This can also be written as, Fs=1s+1s+1s-1…

Q: 11: The Laplace transform of the function f(x) = xe4* is a) 1/(s – 4)2 b) 1/(s + 4)? c) 1/(s – 2)4…

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Q: Find the inverse Laplace transform of the given function. 1. F(s) 3-e-4s S 3

A: "Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Evaluate the Inverse Laplace Transform F(s)= s+ 3s + 2

A: Problem is solved using concept of inverse laplase.

Q: Find the inverse Laplace transform of F(s)=2s+3/(s+1) (s2+9).

A:

Q: Determine the inverse Laplace transform of the following: 5s – 2 F(s) s2(s – 1)(s + 2)

A:

Q: determine the inverse Laplace transform of the given function.

A:

Q: Find the inverse LaPlace transform F(s) = 5s 2 s² +9

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

A: Using Convolution theorem for Inverse Laplace transform,

Q: Let a > 0 be a real parameter. Find the inverse Laplace transform of e(-as) s2 + 4s + 5

A: The given Laplace function is: Fs=e-ass2+4s+5 This can be written as:…

Q: Find the inverse Laplace transform of the given function   F(s)= 8s2   - 4s +12 / s(s2 +4)

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Q: Find the inverse Laplace transform L-{F(s)} of the function 2 F(s) = s2 + 9s – 10

A: Note:- L-11s+a =e-a t ; s>-a   Given function is Fs =2s2 +9s-10

Q: Evaluate the Inverse Laplace Transform of the given function below: 4 F(s) 3s2 +1 1 s - 3 F(s) = (s…

A: Since you have posted a question with multiple sub-parts, we will solve the first three subparts for…

Q: Find the inverse Laplace transform of the given function. 2 2. F(s) s2-8s+25

A: According to question, Fs = 2s2 - 8s +25

Q: 3s+1 5.) f(s) = s² +6s+13

A:

Q: Find the inverse Laplace transform of the function F(s)= (s- 4)e^-3s/(s^3 + 4s)

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Q: 14. Find the inverse Laplace transform of a) F(s) 2+1 s+25 b) F(s) S(-3)

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Q: Obtain the inverse Laplace transform of thefollowing functions 2 +1 a) (a+2)(s+3)

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Q: Evaluate the Inverse Laplace Transform of the given functions. s² – 4 1. F(s) (s2 + 4)2 1 2. F(s) s2…

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Q: Find the inverse Laplace transform of F(s)=2s+3/(s+1)(s^2+9)

A: First find the partial fraction of 2s+3s+1s2+9. 2s+3s+1s2+9=As+1+Bs+Cs2+9 ⋯…

Q: Find the inverse Laplace transform of 2s+1 a) F(s) = s²+25 7 b) F(s) s(s-3)

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Q: Perform the Inverse Laplace Transform of: | in terms of f(t) 2s+3 F(s)=- S s² +4s+13

A: Given that F(s)=2s+3s2+4s+13. Using inverse laplace transform, find the function f(t). Needed…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.