Find the Laplace transform for (a) f(t) = sin² ;t (b) f(t) = e-dt sin 3t %3D (c) f(t) = t2 sinh 5t

Q: 6. x(t) = cos at + sin at

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

A: The given problem is to find the Laplace transform of the given integral term function.

Q: Find the Laplace Transform: 2x2 e* cosh x

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Q: Find the Laplace transform for :  f(t)= e^3t sin 4t

A: Some Laplace transform formulae: L{eatsinbt}=bs-a2+b2 Given function is: f(t)=e3tsin4t To find the…

Q: Find the Laplace transform of f(t) t sin(2t) dr F(s) =

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

Q: determine the laplace transform of t^2 sin 4t

A: We know that Lsin(at) = as2+a2 then Lsin(4t) = 4s2+42= 4s2+16 Also  Ltnf(t) = (-1)ndndsnLf(t)

Q: dy = et. dt Find the solution when y(0)=2 using the method of Laplace transform

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Q: 1 Find the Inverse Laplace Transform of s2+2s + 10 A -e 'sin9t 3 -e-'sin3t 3 3t e"cost (D 3 "cos3t…

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Q: 2 sin 4t t

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Q: sinh 2t (f) t

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Q: f(t) = t sin 2t sin 5t cos 2t

A: There is no such introduction for the solution.I have explained it within the solution.Please go…

Q: Use the Laplace transform to solve the initial-value problem, у" — Зу' + 2у — sin(t); y(0) %3 0, у'…

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Q: Derive the general formula for the Laplace transform of sin bt.

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

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Q: Find the Laplace transform of f (t) = cos²(3t).

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Q: Find the laplace transform of f (t) = t'e" sin 2t

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Q: Find the Laplace transform of e3t sin22t.

A: Find the laplace transform of e3t sin22t

Q: Solve for the laplace transform x(t) = (t+3) sin(t-6)

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Q: (1) = -e* sin (21 +n)

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Q: f(t) = sin* 3t

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Q: f(x) = e-2x sin 5x

A: Given that: find the laplace transform showing complete solution f(x)=e^(-2x) sin 5x

Q: Give the Laplace transform of the solution to y' + 3y-4 e* – 2 sin(2 x), y(0)=5]

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Q: Find the laplace transform of f(t)=2t^2 e^-t - sin^2 t

A: We have to find the Laplace transform of f(t)=2t2e-t-sin2t .

Q: Find the Laplace transform of 4 sin(3t)+2 cos(9t).

A: The Laplace transform of the function f(t) is represented as F(s) or L[f(t)], it is defined as…

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: The Laplace transform of f (t) = e2t sin(7t) + te-3t is:

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Q: e-t(cos 4t – 2 sin 4t)

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Q: Find the Laplace transform of: 1. f(t) = e(-4t)[sin(2t) – cos(2t)]²

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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: The Laplace transform for t+ sin(6t) is

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

A: Explanation of the answer is as follows

Q: Find the Laplace transform of f (t) = sinh3 3t

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Q: Find the Laplace Transform of the function f(t)= e-t ^ sin ^ wt

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Q: Find the Laplace transform of f (x) = 4 sin x + 6 cos 2x

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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: The Laplace transform of f (t) = e* sin(5x) + te 2t is:

A: In this question we have to find the laplace transform which we can easily find out by using the…

Q: 2. t5/2 sinh 4t

A: The solution is given as

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: Determine the laplace transform of f(t) = sin8t sin 6t

A: We find the Laplace transform of  f(t)=sin(8t)sin(6t)

Q: Find the Laplace transform of f (x) = e* sin2x %3D

A: Let us consider a function f(t) then the Laplace transform of f(t) is given as L[f(t)]=F(s) Some of…

Q: Use the Laplace transform to solve the given initial-value problem. у" + 2y" - у' - 2у %3 sin(3t),…

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Q: L(sin 2t cos 2t)

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Q: Solve for the Laplace transform of e2t sin t cost cos 2t cos 4t

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

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Q: Use the Laplace transform to solve the given problem: 3-5y = 0 dx

A: From table of Laplace table,

Q: Solve for the Laplace transform of the function 8cos(at) and then solve for the value of a. Show…

A: Topic:- Laplace transform

Q: a) Use the method of Laplace transform to solve dx 10, dt given that x(0) = 4.

A: Since both the questions are different. So as per our guidelines, we are supposed to solve only…

Q: Determine the Laplace transform: e2t sin (wt + 6.

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Q: L[cos(wot) u(t – 1)]

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Q: The Laplace transform of L[2 sin 5t sin 4t] is

A: Laplace transform can be solved by using trigonometric identities and Laplace transform of…