11. What is the Laplace transform of the function below? L{(cost)H(t – 6)}

Q: Suppose solving an equation by Laplace transform results in Y(s) = s2 + 64' Evaluate y(7).

A: We have to solve given problem:

Q: 00 1. Find the laplace transform of, f(t) =sin(t +a)cos(t -a) using e-stf(t)dt.

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

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Q: 4. Find the Laplace transform of the following functions. a) f(t) = t sint cost.

A: We have,   It is known that, according to the Laplace transform, ...(1) here,  and f(t) is, We…

Q: I. Derive the general formula for the Laplace transform of the following functions: a. e at b. sinh…

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Q: Find the LaPlace transform for the periodic function. 2 3 4. 3.

A: The graph of the given function is This function can be given by  f(t)=3if t∈2n,2n+10   t∈2n+1,2n+2…

Q: Q1/ Determine the Laplace transform of the following periodic function. f(f) 2 6

A: NOTE: Hi! Thank you for your question. Since we only answer one question in case of multiple…

Q: 8. Find the inverse Laplace transform of the given function: 8s +7 F(s) = s2 +8s + 20

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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: (e) t² cost

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Q: 6. Find the Laplace transform of the following functions (c) g(t) = cos 3tH(t-π)

A: Given function, gt=cos 3t Ht-π Ht-π is a Heaviside function defined by Ht-π=0if t<π1if t>π…

Q: 2a. Determine the solution of the following problem using the concept of derivative and integral…

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Q: 5) Evaluate te " cos 3tdt using Laplace Transform! -4t

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Q: 3. Use the definition of Laplace transform to find L{t²H(t-5)}.

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Q: 4. If f(x): = cos Tx then the Laplace transform L{f(x)} fthe differential couation(v -x)dx + 2ydy =…

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Q: 4. Solve for Laplace transform of f(t) = t^5 using long method

A: This question is based on Laplace transform formula.

Q: 5. t²e-2t sin 4t

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

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Q: H.W (1) Find Laplace transform for the following function; 4-f (t)=e" sin 4t

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: Q3 Find Laplace transform of the function f(1) =t sin(@t)

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

A: Given  f(t)= tet sin4t

Q: L{t + e=2t}

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Q: 4. Find the inverse Laplace transform of the function as +b s2 + 32" G(s) : %3|

A: We use the table of inverse Laplace transform to solve the given question.

Q: 1 Find the inverse Laplace transform of F(s) (s+a)*(s+b) for t >0

A: Given function is, F(s)=1s+a2s+b

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

A: Laplace transferom

Q: Suppose solving an equation by Laplace transform results in 6 s Y(s) = s² + 64° Evaluate y(").

A: y(s)=ℒ(6ss2+64) =-3(2si(8s)-π)sin(8s)-6cos(8s)ci(8s) y(π)=-3(2si(8π)-π)-6cos(8π)si(8π)

Q: 6. Find the Laplace transform of the following functions (a) g(t) = et+2+ sint cost+to(t-2).

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Q: Q3 Find Laplace transform of the function f (t)=t cos(@t)

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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: 1. Show that the function 2t et cos (et“) is not of exponential order, however its Laplace transform

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Q: 14. Find the inverse Laplace transform of 2s+1 a) F(s) s²+25

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

Q: Find the Inverse Laplace Transform. Y (s) (10s + 8) తాతి s3

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Q: Given the function Y(s) - (s - 1) Use the Laplace Transform table to convert this function into…

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

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Q: 7. Find the Laplace transform of the function f (t) = 2t + 3 cos(3t) + 4 sin(3t)

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Q: Q1/ Determine the Laplace transform of the following periodic function. f(1) 2 6 8

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Q: Q4.A. Find Laplace Transform for the signal f(t)= t sin 2t

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Q: 7. Find the inverse Laplace transform L'{ 's2+6s+10'

A: Given below the detailed answer

Q: 1. Use the Laplace transform to solve the following IVP: y"-2y' = e²" cost, y(0) = 0, y'(0) = 0

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Q: Find the. of the function below. inverse Laplace transform (s +3)(s + 5)

A: Answer is( 5/2 )e-5t -(3/2) e-3t

Q: olve the following initial value problems using the Laplace transform method. 6 -2 + (21) subject to…

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

Q: 2. Find L{e3t cos 2t} using property of Laplace transform

A: We’ll answer the first question (Question number 2) since the exact one wasn’t specified. Please…

Q: 3.44. Find the Laplace transform of x() given by otherwise

A: Given xt=1t1≤t≤t20otherwise

Q: Q1: Find inverse Laplace transform of the function. 3s F(s) s2 + 2s – 8

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Q: I. Derive the Laplace transform of the following functions: 3. L {sinh(at)} = given that sinh (at) =…

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Q: (s+1)(s²+1)

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

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Q: 2. The laplace transform of f(t) = et

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Q: y"+ 4y' = cos(t - 3) + 4t, y(3) = 0, y'(3) = 7

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