Q1 Find the Inverse Laplace Transform s+11 (i) using the method of residues. (s+1)(s2-9) (ii) 15 using Convolution theorem. s³ (s2+2)

Q: 3s - 2 Find the Inverse Laplace Transform of G (s) = 2s² – 6s – 2 A 8(1) = 3e 2 sinh cosh 13 B 8 (1)…

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Q: 2s +3 Find the Inverse Laplace Transform of F (s) s²+4s+ 13 A f (t) = 2sin3t – -cos3t 3 B f (t) = e'…

A: Use Laplace table.

Q: s-8 3. (s-3)(s²+2s+17)

A: Given: L-1s-8s-3s2+2s+17

Q: s2-25 (s2+4)(s² +4s +5) Q2/ Find the inverse Laplace transform of the following function:

A: Break the given laplace transform in its partial fraction and get into recognizable form:…

Q: 5 YR-1 U using residue method. (Hint: U(k) = 1 (z-transform)) %3D 4. Solve

A: Consider the provided question, yk-56yk-1+16yk-2=Uk We need to solve using residue method, Rewriting…

Q: 4. (s+1)²(s²-4s+85)

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Q: s2-25 Q2/ Find the inverse Laplace transform of the following function: (s2+4)(s ²+4s+5)

A: Break the function in its partial fraction and bring it in one of recognizable forms of Laplace…

Q: 8s + 5 Find the inverse Laplace transform f(1) = L- {F(s)} of the function F(s)%3= s2 + 16

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Q: 2s? + 4s – 10 (d) F4(s) = %3D (s + 6)(s + 2)²

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Q: 5. Using the Laplace transform, we want to solve the second part of the initial value problem when…

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Q: s2-25 2 Q2/ Find the inverse Laplace transform of the following function: (s2 +4)(s² +4s +5)

A: Break the function into  partial fraction and get it into recognizable form:…

Q: s- 5s = (s) %3D "suy %3D f() = cosh(J51)-1 Find the Invrrse Laplace Transform

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Q: 2 (b) Find the inverse Laplace transform of by using s(s2 + 2s + 4) (i) Partial fraction (ii)…

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

Q: (2 0<x<1) = }4 1<x< 2 l6 2<x<3) 1-for the function f(x) a-Draw the function. b-Represent it with…

A: As per our guidelines we are supposed to solve only one question. Please repost the other questions.…

Q: 2s²+7 F(s) (s+1)(s+2)(s²+ 2s+5)

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Q: Q3 [CLO 3] Solve the IVP by using Laplace Transform y" -2y'+37y=e +cos 3t, y(0) =0,y'(0) =1.

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Q: 2s +3 Find the Inverse Laplace Transform of F (s) s2+4s + 13 A f(1) = e-"(cos31 – sin31) 2 (B) f(t)…

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Q: -2s (s-3)e %3D Find inverse Laplace transform of F(s) = s +6s +13

A: 2) Find the inverse Laplace transform of F(s)=s-3e-2ss2+6s+13 as shown below. It is known that, if…

Q: find the inverse laplace transform: F(s) = (s2-10s-25)/(s3-25s)

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Q: 5s – 11 Find the inverse Laplace transform f(t) = L- {F(s)} of the function F(s) %3D s2 - 4s + 13

A: Use laplace transforms form

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: 3S+7 A. Find the Laplace invers f(t) if F(S) s2-2s-3 B. Find the Fourier series of the periodic…

A: given    F (s) = 3s+7s2- 23-3

Q: s-8 3. (s-3)(s²+2s+17)

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Q: The Laplace transform of L(t+3)². is

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Q: (b) 2s2 -4 Find the inverse Laplace transform of the function F(s) = (s+1)(s-2)(s-3) by using…

A: Solve the problem with the help of partial fraction

Q: 3) i.- Given the IVP: y" +3y-4y = 20, y(0) = 0, y (0) = -5. %3D %3D | A) Use the Laplace transform…

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Q: s-5 Find the inverse Laplace transform, F (s) s2+s-6 O e* - * -3t 3t 3 24 O-e* + -2t

A: the solution is given as

Q: Solve the Initial Value Problem using LaPlace Transforms y" +4y' = 2 y(0) = 0 y'(0) =-2 Determine…

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Q: (-28 — 4)е s2 + 6s + 25 1. Calculate the inverse Laplace transform L-! 4e-2s (s +1)³.

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Q: Find the Inverse Laplace Transform 2s+11 (i) using the method of residues. (s+1)(s²-5s+6) (ii) 5…

A: To find the inverse Laplace Transform:

Q: 2. Using the Laplace transform find the solution for the following equatic a y(t) = e(-31) With the…

A: Given: ∂yt∂t=e-3t and initial conditions are: y0=4, y'0=0 We have to find the solution for the given…

Q: -3s (2s+7) 1_e3s (s2+16)(s-1) 3.ii.Find L-1

A: We have to find the inverse Laplace Transform of:  (2s+7) e-3ss2+16(s-1)

Q: 7s2–41s+84 Determine the inverse Laplace transform L{s-1)(s²–4s+13) † · -1s

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Q: d the Laplace Transform of the periodic function f(x) 5 for 0<r < 7 T0 for 7<r< 14 s(1–e-14*) 5(e-78…

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Q: s²+3 (s-3)(s+5)(s-1)²

A: Let  s2+3(s-3) (s+5) (s-1)2 = As-3+Bs+5+Cs-1+D(s-1)2

Q: ƒ(s) = 4s - 18 9-s² What function f(t) has Laplace transform: 5s (s - 2)² +

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Q: 7. In the process of computing the inverse Laplace transform of the function F(s) = -23 - arctan ¹…

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Q: Q6) A-Show that: a) X(f)=X*(-f) 4 To/2 b) if x(t) is even, then b=0, ano/²x(t) cos(2πnfot) dt…

A: Solution : A) a) X(f)=∫-∞∞x(t)e-jftdt X*(f)=∫-∞∞x(t)e-jftdt* X*(f)=∫-∞∞x*(t)ejftdt…

Q: solve using laplace transform: F(s) = (3s+9)/(s2+2s+10)

A: Using the table of Laplace transformation, it can be written that:…

Q: 4s+4 Find the inverse transform: F(s) %3D s2 (s-2)

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Q: Using the Laplace transform solve ²+2 + 2q = tH (t-3), where q(0) = 0, q'(0) = 0.

A: 1l

Q: 3) Given that f(t)= 4 e-3(t-4) a) Find Adf(t)/dt] by differentiating f(t) and then using the Laplace…

A: According to the given information, the given function is:

Q: 3.2 Find the Inverse Laplace transform f(t) if given the Laplace Transform function 1 F(s) = using…

A: Given is the Laplace Transform function F(s)=1s(s+1). The objective is to find the inverse laplace…

Q: 2s Find the inverse Laplace transform: a s* + 4s +8

A: to find the Laplace transform of the given function proceed as follows…

Q: Q2)Find the inverse Laplace transform. * -3s2+20s-24 G(S)=- (s-2)2(s-1)

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Q: Q4/Find The Inverse Laplace Transform By Partial 3s-12 Fraction (s-1) (s2 +8)

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Q: 3s+5 By using the partial fraction method evaluate the inverse Laplace transform of the following…

A: Take the partial fraction of the expression,3s+5s2-3s+10 to write it as a sum of two fractions. Then…

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

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Q: 2s+3 5) Find the inverse Laplace transform of F(s) = %D (s+1)(s2+9)

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