Find the laplace Transform of the followng: Calffax) => + cos 2x + 2e 6ih (t) --2sinh(et) + Sin(3t) +st? -9 e) gct) = - Geos Cyt) - 6sin (4t) t2cos (8t) %3D

Q: Inverse Laplace transform of (a) e cos 2t+4e* sin2t (b) e cos2t-4e* sin2t (c) 4e cos2t-e* sin 2t (d)…

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Q: From a Laplace Transform form, we have the following expressions: s - w I) L{ewt cos(ßt)} (s – w)2 +…

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Q: ft) = cos 2t + sin 2t + cosh 2t + sinh 2t 2s? (s+2) А. (s2 +4)(s2 -4) 2s? (s-2) С. (s2 +4)(s2 -4)…

A: We find the Laplace Transform of  f(t)=cos(2t)+sin(2t)+cosh(2t)+sinh(2t).

Q: Q.1) Find the Laplace transform of the following: a) f (1)=3sin2 21 b) f (1)=3 +° c) f (1)=2cos2t…

A: To solve the following problem we will use the standered result of laplase transformation

Q: -3 if 0 6 The Fourier sine transform of f(x) is sin 3w a) 6 2 (sin 6w b) -3 1-cos 6w с) —3 -cos 3w…

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Q: 3.* 6 y = (s – 2)4

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Q: Q find Soluti on Of ion or me Vibrating equati Violin Shing azucxit) 6² Q?U (xit 1) 2. 2. which has…

A: Given an initial value problem, ∂2ux,t∂t2=c2∂2ux,t∂x2 With boundary conditions, u0,t=0 and uL,t=0.…

Q: f(t) = [1 – u2m (t)](2 sin t – sin 2t)

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Q: Q1: Find the Laplace transform of: a) L{cos 2t + et} b) L{5e¯† + cos 3t}. c) L{2 sin 3t-4e-4¹}.

A: We can answer only three subparts, or the first question and the rest can be reposted.No more than 3…

Q: Find Laplace transform of the function f(t) = cos(2t + 3)+e¬'u(t – 4) + tcosh²2t

A: Use the following formulas while calculating the Laplace transform of the given function.…

Q: 6. Evaluate * y" + 9y = 0; y(0) = 2 , y'(0) = 9 2cos3t + 3sin3t 2cos3t + 9sin3t C. A. 3(cos3t +…

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Q: a) Consider the following function UTM UT Cos t, cos 2t, 0 T. UTM ii. Hence, find its Laplace…

A: The given problem is to express the given function in terms of unit step function and also find the…

Q: Match the correct inverse laplace transform of the given function. 1-3s 5t 3 + 19e-2t A. s2 + 8s +21…

A: Solution:     1-33S2+83+21The inverse Laplace transformL-11-33S2+83+21=…

Q: i) Obtain the complete and singular integrals of : = px+qy+ pq . -3t ii) Find the Laplace transform…

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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: B) Find Laplace transform of each of the following: 1) f(x) = 0.5e3x + cos(bx) ex sin(cx) - at 25 2)…

A: Solution of the given question is like as

Q: f(t) = [1– u2m(t)](2 sin t – sin 2t) U2n

A: Some of the properties of Laplace transformation Lsinat=as2+a2Luc(t)=e-cssLuc(t)g(t)=e-csL[g(t+c)]

Q: Find the Laplace Transform of (i) e3(2cos 5t - 3sin 5t) (ii) e2tcos² t 4t (iii) e**sin 2t cos t

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Q: f(t) = [1– uzn(t)](2 sin t – sin 2t

A: Solution

Q: 3. x"(t) + 4x"(t) + 9x'(t) + 10x(t) = -24te'; when t=0, x = 0, x = 4, x" = 10

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Q: -.) t(3t-2)4 et

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Q: 70. Which of the following. is the inverse Laplace transfor B (B^2-9)/(s^2+9)^2 ? A. cos (3t)+3t…

A: The given expression for the inverse Laplace transform is:The objective is to determine which of the…

Q: 6s 3 Find the Inverse Laplace Transform of + s2+25 s2+ 25 6 -cos3t --sin5t 5 3 A 5 3cos5t+ -sin3t 6…

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Q: Determine the Laplace Transform of the following: 1. te-3t + tcos2t + e-3icos2t 2. te-3'cos22t 3.…

A: Q2 asked and answered.

Q: 4. (a – bt)?

A: Consider, a-bt2Suppose ft=a-bt2Then ft=a2+b2t2-2abt

Q: 2. ts) Use the table of Laplace Transforms and 1st shifting theorem to find the Laplace transform of…

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Q: What is the Laplace transform of the following: answer need to be clear and all sets shown F(t) = 3t…

A: Remember : Ltkft=-1kdkdskLft Leatft=Fs-a

Q: 6. et+7 dt 7. r'e-)* dt 8. I. 4e-" sin 6t dt

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Q: t2, 0 2

A: We have to find the Laplace transform of the given function.

Q: Determine the Laplace transform of the function. a) [4+sin(31)+5e²]- b) Z[6r'+2t’e" +sinh(4)].

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Q: Find the Laplace transform of the following function f(t) = u(t-5)e-) cos 5t

A: First we will use the property of Laplace transform.