ompute the Laplace transform of for 0

Q: S F(s) = (s+5)6

A: Use partial fractions to split the function then use laplace table.

Q: Use the Laplace transform to find H(s) (impulse response for y(t)-x(t)) in function of A, B, C and…

A: Consider the given equation. x˙=Ax+Bfty=Cx+Dft (1) The derivative function. the transformation can…

Q: 4s – 9 f(s) = (s – 3)3

A: We have to find inverse Laplace transform

Q: Let 8(t – a) be the unit impulse function and f(t) is continuous at t = a , show that L[8(t – a)f…

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

Q: Using the definition, determine the Laplace transform for f(t) = t .

A: I have used the definition of Laplace transformation and calculated the integration

Q: 2. Using the definition of Laplace transform, determine L{f}. a) f(t)= te' t, 0st<n 0<t<T b) f(t)= |…

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Q: Using the definition of Laplace transform, what is the equivalent integral if f (t) = 5t? est O 5…

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Q: HW: Find the Laplace transform for the following functions k a

A: Laplace transform using the definition.

Q: use integration by parts to find the Laplace transform of the given function; n is a positive…

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Q: -. Express f(t) in terms of the step function. Simplify your expression. - Solve for the Laplace…

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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: 1. Find the Laplace transform of the following function using the basic -5t definition and…

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Q: 2. Use the Laplace transform table to find F(s) for the given function. 1. f(t) = 2t²e-t cosh t.

A: Given - f(t)=2t2e-tcosh t. We know to find F(s) for the given function using Laplace transform.

Q: 2)

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Q: What is the Laplace transform of the function: F (1) = cosh 4t where cosh 4t = A $2– 16 B s2– 16 s2–…

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Q: 4. Find the Laplace transform of some function f (2t) – ie L( f(2t)) – where f(t) is a continuous…

A: The Laplace transform of f(t) is F(s), i.e., L( f(t) ) = F(s), where f is some continuous function.…

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: Find the Inverse Laplace Transform specifcally using the convultion theorem:  ℒ -1{12/s2(s2+1)}

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Q: Solve the Laplace transform. L[ t3sin 2t]

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Q: 3) F(s)=- s(s+a

A: To solve this problem, we use the standered result of   inverse laplace transformation.

Q: (2) Find Inverse Laplace transform for; 1 1-F(s)= s(s +1) 3 2-F(s)=- s' +4

A: We need to find the inverse Laplace transform. Part(1) We have 1ss+1 We use partial decomposition.…

Q: 1 1) F(s)%= s+s

A: we have to calculate Fs=1s2+s first taking the partial fraction of 1s2+s 1s2+s=As+Bs+11=As+1+Bswhen…

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

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Q: f(x) = S^ sinh 2tdt

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Q: Find the inverse Laplace transform f(t) = L-' {F(s)} of the function 4s + 7 F(s) s2 + 36 4s + 7 1 {…

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Q: Solve for the laplace transform x(t) = 4(t/5) e-t/6

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Q: The inverse Laplace transform when f(s) f(t) = 2e-2t sinh 2t = 1 s² 4 +s is equal to True O False O

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Q: Using the Laplace transform, compute t * e-t * e', where indicates the convolution.

A: We will find out the required value.

Q: Q7. Find the Laplace transform of the periodic function f(t)= sin at for 0<t<¹ 0 for T @ -<t< @ 2π @

A: Sol:-

Q: 3. (а) Write the definition of the Laplace transform of a function f(t).

A: I am solving question 3 part (a) as you mentioned.

Q: f(x) = = 1 2 cos: X x

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Q: f(t) = 2Ct -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: Solve for the laplace transform  x(t) = 3(t-5)5

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

A: Problem is solved using concept of inverse laplase.

Q: 4) Find the Laplace Transform of the following functions: f(1) = Lu(t – n) n=0 f (t) = (-1)t/a] *]…

A: a) Given function is , ft=∑n=0∞ut-n     =ut-0+ut-1+ut-2+···· To find : Laplace transform of ft…

Q: 2) Use the definition of the Laplace transform to find L{f(t)} given et, 0<t<3 f(t) = t, t2 3

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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&gt;-a   Given function is Fs =2s2 +9s-10

Q: 1. Calculate the Laplace transform of the function when 0 <t<1 when 2 <t<3 everywhere else 1-t f(t)…

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Q: 4. Find the Laplace transform of some function f (2t) – ie L( f(2t) ) – where f(t) is a continuous…

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Q: 4. . Evaluate the Laplace transform of the function t S, sintdt

A: The solution is given as

Q: Q5. Find the Laplace transform of following functions (a) t sin 4t (b) 1- cos at t

A: Part a We need to find Lt sin4t Now the Laplace transform of t sinat is Lt sinat=2ass2+a22 So,  Lt…

Q: 3) Use the definition of the Laplace transform to find L{f(t)} t, if 01.

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Q: Let us find the Laplace transform of u(t-a), where a 2 0 is some constant. That is, the function…

A: Here we have to compute the laplace transform of u(t-a)

Q: Q1. Find the Laplace Transform of the following functions a) u(t) – u(t-3)

A: To find the Laplace transform of the below function. ut−ut−3

Q: Using the definition of Laplace transform, what is the equivalent integral if f (t) = e3t? %3D -…

A: Equivalent integral of f(t)=e3t

Q: with the help of convolution find the invese Laplace transform of the function  : 2/s(s+1)

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Q: 1 The function F(s)= 1- can't be a Laplace transform for some function f(t). S Select one: O True O…

A: Laplace inverse transform of  F(s) = 1-1/s is  f(t) =  δ(t) -1

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: 3. Find the Laplace transform F(s)=[f(t)](s) where f(t)=- ›-4 4 for 0 < t <2 for t≥ 2.

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