Which of the following is the expression to be ob tained when the Laplace transform is applied to the problem; 2y" - 3y'- 2y = te", y(0)= 0, y'(0) = 2 ? 4s -16s-17 A) Y (s) = (2s+1)(s-2)' 4s +16s+17 B) Y (s) = (25+1)(s- 2) 4s -16s+17 C) Y (s) = - (25+1)(s- 2)' -4s +16s+17 D) Y(s) =: (25 +1)(s-2)* 4s -16s+17 E) Y(s) = (2s+1)(s-2)'

Q: xn-1 ax

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Q: e-2t cos 3t cOS

A: The given question is related to Laplace Transform. The solution is explained below.

Q: Which of the following is the expression to be ob tained when the Laplace transform is applied to…

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Q: 7. Use the Laplace Transform to solve the IVP y +2y - y -2y= sin(3t) ,y(0) = 0, y'(0) = 0, y'(0) =1

A: We have to use Laplace Transform to solve IVP.

Q: у" (() + у(t) 3 0 y(0) = 0 y'(0) = 1

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Q: Find the Laplace transform of L(t5)

A: The Laplace Transform of f(t) is given by, L{f(t)}=   ∫∞ 0   e^-stf(t)dt Here f(t)=t^5 So, L(t^5)= ∫…

Q: kado/4 Find the Laplace transform for -4 f() = e'sin2t + e cost s + 1 2 s+1 s + 2s + 5 s- 2s + 2 (s-…

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Q: 3s +5 Let X(s) = be the Laplace Transform of a signal x(t). Then, x(0+) is %3D s + 10s + 21

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Q: Consider the IVP y''-y'=-30e3tcos(t), with y(0)=1, y'(0)=-12. Take the Laplace transform of both…

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Q: Find the Laplace transform of t2 sin(3t) 18s-54 (s2+9)² 18s2-54 (s249) 30s2-54 (s2+9) 1252-54 (s2+9)

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Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

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Q: If y" -6y' +9y = 5t², y (0) = 0, y' (0) = 1, what is the Laplace transform of y? 8 s²-68+9 + 10…

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Q: 2 The inverse Laplace transform by using integral of transform s(s2 +2s+4)

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Q: If y " +3y + 9y = 6e3t, y (0) = 0, y/ (0) = 5 what is %3D %3D the Laplace transform of y? 6. s2+3s+9…

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Q: 10) Use the Laplace transform to solve the given initial-value problem. y'-y = 2 cos (3t) when y(0)…

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Q: If y " +3y + 9y = 6e-8t, y (0) = 0, y (0) = 5 what is the Laplace transform of y? 6. s2 +3s+9…

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Q: 1 If the Laplace transform of ewt is , the Laplace transform of t coshtis S-W

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Q: Solve for the Laplace transform of e2t sint cost cos 2t cos 4t 1 s-4s+20 s-4s+68 -4s+20

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Q: 27 (- 1 -' -p = 1, 2, 3, ... p . Find f (x) if its finite sine transform is given by f.(P). where 0…

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Q: Consider the IVP: y" - y' + 2y = 8sin(2t) - 8, with y(0) = -2, y'(0) = -4. Solve the IVP by using…

A: Given IVP is y''-y'+2y=8sin2t-8              (i) With y0=-2, y'0=-4 Taking Laplace transformation of…

Q: Solve for the Laplace transform of et sint cost cos 2t cos 4t 7+4s+20 82-4+20 -4+68 4s+8

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Q: 5s-1 JA function has a Laplace transform of F(s) : If this function is %3D s²-1 multiplied by e',…

A: The given Laplace transform is Fs=5s-1s2-1, if this function is multiplied by et. Calculate the new…

Q: What will be the numerical coefficient of cos(V3t)etin the Inverse Laplace Transform of 3 s(s3-8) O…

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Q: 10s – 3 - Find the inverse Laplace transform of F(s) s2 – 4 - 17 O f) 23 -2t -e 4 23 4 17 + 4 -2t…

A: I have stated the used formulas in the solution

Q: 3. e-9t cos(3t) + 5e-2t sin(3t)

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Q: 3. Find the Fourier Transform of f(t) = 0, - osts0 le-at, osts ∞ a is positive constant

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Q: 3.1 If the Laplace transform of coswt is then find the Laplace Transform of the s2+w? following…

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Q: Solve the following initial value problem (IVP) of y" – 3y - 10y = 2 where y(0) = 2 and y (0) = -1.…

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Q: Inverse Laplace transform of s2+9 is given by O cosh(3t) O cos(9t) O cos(3t) O sin(3t)

A: Find the inverse Laplace transform of ss2+9 we know that L-1ss2+a2=cosat

Q: 2T (-1Y- Find f(x) if its finite sine transform is given by f, (p) = where 0<x < T. -, p = 1, 2, 3,…

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Q: 5s + 57 32(s + 2s + 17)

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Q: ) Solve the following initial value problem by using Laplace transform. y" + 4y = 4t + 12, y(0) = 4,…

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Q: -3s? + 2s +4l | (8² – 4s + 5)(s – 2) * 1. Calculate the inverse Laplace transform L-1

A: Inverse Laplace transferom of the function

Q: Show that (a) L-1 = sin(at) - tcos(at) %3D (s²+a²)²) (where L indicates imverse Laplace transform)…

A: L-11s2+a22=12a2sin(at)-12a2tcos(at)

Q: By using Laplace transform to solve y +y = tet with y (0) = -2, what would the particular solution…

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Q: Determine the Inverse Laplace transform for 5s + 2 1 +6s+13) 1- f(t) = 5e³t sin 3t+ 13 e³t cos 3t O…

A: We have determined the inverse Laplace transform for ℒ-15s+2s2+6s+13 .

Q: The Laplace transform of t sin(3t)is : 30s2-54 (s2+9)3 12s-54 (s2+9)% 18s-54 (s2+9)2 12s2-54 (s?+9)?…

A: We find the last transform of t2sin(3t)

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: find the Laplace transform of (sinx - cosx)² O (s² - 2s + 4)/s(s+ 4) (s² + 2s + 4)/s (s² - 4) O (s²…

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Q: a) Sojlve the initial vajlue problem using Laplace transform UTM y + 2y = 26 sin 3t, y(0) = 3. UTM…

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Q: By applying inverse Laplace Transform, we get > y(x) = L-1ſ _2s² + 2 Is²(s² + 5). L={ } - L{4 ++}…

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Q: 2. Given the nonlinear sine-Gordon eqn. ua - Sin u, u(t, z), (4 = tig), k: constant (1) Also, given…

A: Given: u(tx)=Sin u, u(t, x),  (u(xt) = u(tx)), k=constant

Q: 9. Find the mverse laplace transform of system function HS) = for 3 cases of ROCs when- s45s+6 (1)…

A: Consider the given function. Hs=1s2+5s+6 Find the factor of the denominator.…

Q: Find the Inverse Laplace Transform 11s – 2s +5 2s3 – 3s2 – 3s + 2 |

A: Given Inverse Laplace Transform isL-111s2-2s+52s3-3s2-3s+2The Inverse Laplace Transform is…

Q: 2. Laplace STO 2 3. What is the Laplace transform of 2cos t?

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Q: 4. Use Laplace transform technique to solve , y"+2y'+2y = e given y(0) = -2 and y'(0) =-1 %3D

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Q: Take the Laplace Transform of both sides of the IVP y'' + y = 2δ(t-1) w/ y(0) = 1, y'(0) = 1 and…

A: Step:-1 Note:- Some Laplace Transform 1. Lδt-a = e-as   for a&gt;0 2. Lyt=ys  and  L-1ys=yt 3.…