If f (t) = ) = CoS ( 4t what is 6 the laplace transform of f (t) ?

Q: Find the Laplace transform of cos 5t

A: To find the Laplace transform of cos 5t.

Q: Solve the laplace transform of f(t) = sin3 (10t). Hint: You may convert the given to whichever form…

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Q: What is the initial value of f(t) if its Laplace transform is

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Q: f(t) = 3e " cosh (In 21)

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Q: Find the inverse laplace transform of the problem L-[- u+1 (u+1)²+1! L[f(u}] = F(t)

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Q: To find the Laplace transform of eª sinh(at) you would substitute into which gives

A: Calculate the Laplace transform of e9tsinh(at). Le9tsinhat=Lsinhats→s−9

Q: 4. Find the Laplace transform of the periodic function f(t) = |cos(t)|

A: Solution: The given function is ft=cost We know that cosπ+t=-cost Therefore, fπ+t=cosπ+t fπ+t=-cost…

Q: 1 -s F(s) = e = -+ s2 e-3s

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Q: sinh 2t (f) t

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Q: 1. The Laplace Transform of f(t) = te' sin(2t) is

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Q: L[t e-t sin 3t dt ]

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Q: 2. Find the Laplace transform of the ff. a. t cos 3t b. e

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Q: What is the initial value of f(t) if its Laplace transform is 5-2? 2s(s+2)

A: To Find: The initial value of f(t) if its Laplace transform is s-22ss+2

Q: So (sinh (-2t)e¯') u(t)

A: We shall find the Laplace transform of∫0tsinh-2te-tutdt that is L∫0tsinh-2te-tutdt First Shifting…

Q: Question included in image

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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: What is the Laplace Transform of e^t?.

A: To find the Laplace Transform of et  L(et)   By definition, L(f(t)) = ∫0∞ e-st  f(t)  dt

Q: O fe) = e* cos 2t -t * + Gn 状 - as )

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Q: e-t(cos 4t – 2 sin 4t)

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Q: Evaluate equation y’ – 3y' – 4y = e³x using the Laplace transform, with initial conditions y(0) = -5…

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Q: Given that x(0)=0, apply the laplace transform to find a general solution of tx''-(4t+1)x'+(4t+2)x=0

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Q: How is the existence of the Laplace transform of a function guaranteed?

A: We known that the  Existence of the Laplace transform of a function guaranteed

Q: 1.a Find the Laplace transform of the function F(t) = e-2t (cosh 3t + sinh 5t)

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Q: 1. f(t) = cos(6t)

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Q: 6. Solve for the Laplace transform of f(t) = t^2 using the long method

A: Given that: f(t)=t2

Q: Find the Laplace transform of u2(t)cos(t − 2)

A: This is laplace transform shift problem

Q: O xt) tLosh at - sinh 34 + ws (ot - )

A: Properties of the Laplace transform  Laf(t)+bg(t)=aL[f(t)]+bL[g(t)] Ltf(t)=-F(s), where…

Q: Determine the Laplace transform of L(sinh 5t * cos t)

A: Explanation of the answer is as follows

Q: Solve the laplace transform of f(t) = sin (10t). Hint: You may convert the given to whichever form…

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Q: y Ct) = 5€ - 2t Cos 6t

A: Use the following 1.L{cos at}=ss2+a22.If L{f(t)}=F(s)Then L{eatf(t)}=F(s-a)

Q: f(t)=e'(4 e2" + 5)?.

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Q: If the Laplace transform of x3/2 is then the Laplace transform of t3/2e 4s5/21

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Q: If y " +3y +9y = 6e-3t, y (0) = 0, y (0) = 5 what is the Laplace transform of y? %3D

A: Given Solve using Laplace y''+3y'+9y=6e-3t, y0=0, y'0=5

Q: f (t) = e'-²H (t – 3)

A: Second Shifting theorem or Second Translation Theorem: If LFt=gs and a>0.  then LFt-aHt-a=e-asgs…

Q: FInd the Laplace transform of cos t cos 2t cos 3t

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Q: welą Find the inverse Laplace transform of ,-7s F(8): s2 – 1s – 6 f(t) = - (Use step(t-c) for u,

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Q: If the Laplace Transform of F (t) = vi what is the Laplace Transform of is 4s 2 F (t) = e' vt3?

A: Laplace transform of F(t) = et root t3

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

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Q: The formula for the Laplace transform of t^ , n! is true for sn+1

A: Option (d) is correct

Q: Find the Laplace transform of sin 21, 0<t < 2n S(): 0, 12 2n

A: we have given the function f(t) = sin2t,  0≤t≤2π   0,          t≥2π we have to find the Laplace…

Q: 5. If the Laplace transform of f(t) find F(4s)

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Q: VE cos(3f). find the Laplace transform of %3D

A: Laplace transformation is a method used for obtaining the solution of a complex differential…

Q: Find the Laplace transform of f(t) = (1+ sin 2t cos 2t). %3|

A: Given: f(t)=(1+sin 2t cos 2t)

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

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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: 1 Find the Inverse Laplace Transform of s2+2s+ 10 (A -e "cos3t 3 1 B -e -'sin9t 3 3r -e"cost D -e…

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Q: +5s, The inverse Laplace transform of is 1 1 5 5 f(t) = S sin 5t - sin

A: It is required to find inverse Laplace transform of L-11s3+5s. That is, L-11s3+5s=L-11ss2+5 Here…

Q: 5. f(t) = = cos 2t sinh 2t

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Q: Find the Laplace Transform L{ 5 sin /7t – 3e +t - e* cos 2t 3

A: To find the laplace transform  L5sin 7t-3e-2t+13t3-e3tcos 2t

Q: transform

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