COS t- if t Example 1: Find the Laplace transform of g(t), where (1) g(1) = { %3D 0, YO if t<- 2n ,if t> 3 CoS 3 (ii) g(t)= 2n 0, if t<-

Q: (a) Find the Laplace Transform of f (t) = et sin 2t cos t (b) Find the inverse Laplace transform of…

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Q: 1- 3s Find the Inverse Laplace Transform of G (s) =- s2+ 8s +21 13 8 (1) = – 3e -d"cosh(V51) +…

A: Given Gs=1-3ss2+8s+21 to find the inverse Laplace transform Solution:-

Q: Laplace transform of (e-t sin? t) 1 2 (s + 1)(s² + 2s- 4) (s + 1)(s² + 2s + 5) O Option 1 O Option 2…

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Q: -3sT 1 The Laplace transform of t – u3(t) sin(at) is s2 (k) e s2 + 72°

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Q: (A) Find Laplace transform of the function: f(t)-t sin ( 21+5) cos(24-7) = 2t 2t (B) What function…

A: Given: A) ft=t sin 2t + π2 cos 2t-π2  Find Laplace transform of the given function. B)…

Q: Given an Transform of a function f(s). Find x equation L-(f(s)) = xLf (s - a)} where L^-1 is the…

A: To solve the Laplace and inverse Laplace equation using formulas.

Q: (A-1) L[2¬3 cos t] by s-shifting theorem (A-2) L[t e¬t cosh 2t] by differentiation of Laplace…

A: Given: (A-1) Le-3tcost (A-2) Lte-tcosht (A-3) Lsin2t·ut-π4 (A-4) L4t*e-2t

Q: 1- cos at Q6. Find the Laplace transform of following functions (a) t sin at (b) t

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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: The Laplace Transform of the convolution 1 L {1 * e* } 4t s(s + 4)

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Q: -4 Inverse Laplace transform of is given by s2+16 O sinh(4t) O cosh(4t) O cos(-4t) O sin(-4t)

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Q: 2s + 3 Find the Inverse Laplace Transform of F (8) s2+ 4s + 13 A f(1) = e2 2sin3t – -cos3t B f(1) =…

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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: - s + 21 Find the inverse Laplace transform of F(s) s2 – 7s + 6 f(t) = Submit Question

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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: 3 Find the inverse Laplace transform for (s-2)2+9 (a) e-2t sin3t (b) e2t sin3t (c) 3e-3t sin2t (d)…

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Q: Find the inverse Laplace Transform of 3(S-1) A. 3(cost + sint) B. (S-1)²+1 3s s²-2s+2 C. 3(S-1)…

A: We will use table of Laplace transform

Q: The inverse transform of * 1 2 4s8s O % e (exp -t) sinh t O % e (exp t) sinh t O 1/4 e (exp -t) cosh…

A: Solution:  Given,  14s2-8s = 14(s2-2s)                             =14(s2-2s+1)-4=14((s-1)2-1) Now,…

Q: 1. (sin at + at cos at) Find the laplace transform of 2a

A: Let ft=12asinat+atcosat

Q: s2+1 Find the inverse Laplace transform of F(s) = lIn (s-1)²

A: Given that  Fs=lns2+1s−12 We have to find the inverse Laplace transform of Fs=lns2+1s−12 Use…

Q: Question(s) 2. Find the Laplace transform of t°cosh at 3. Find the Laplace transform of e-2tt sin³t…

A: As per Bartleby Instructions, only q.no 2 can be solved. Upload others separately.

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: 1 The inverse Laplace transform: a{, is: Is²– 36) - (A) 6sin(61 ) (B) -cosh(6t) 1 -sinh(6t) (D) None

A: It is given    Gs=1s2-36=1s2-62         =1·66s2-62=16·6s2-62   The inverse transform is then…

Q: 4. If the Laplace transform of f(t) = e cos(et) + t sin(t) is determined then, a. a shifting theorem…

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Q: S1 -x, xl 1 Find the Fourier transform off(x) = and hence evaluate sin x) Cos 2 X COS X – dx.

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Q: (9s – 33) e Find the inverse Laplace transform of F(s) = s2 – 8s + 20 f(t) =

A: Inverse transform rule is,  if L-1Fs=ft then L-1e-asFs=Ht-aft-a, where H(t) Heaviside step function.

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: 3s+4 The inverse Laplace transform of F(s)= 7+2 1S

A: We have to find the Inverse Laplace transformation of the function F(s) = (3s+4)/(s^2+2)

Q: a s?-3 s +s Let F(s)= be the Laplace transform of f(t). If f(0)= – 12, find a. s+s+3

A: Given, Fs=as2-3s2+ss3+s+3=a-3s2+ss3+s+3 And,f0=-12

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

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Q: 6s – 5 Find the Inverse Laplace Transform of F (s) s2+7 5 f (t) = 6cos(/7t). -sin(/77) _cos(/7 ) 5 B…

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Q: 6s + 33 Find the inverse Laplace transform of F(s) s2 + 9s + 18 f(t) =

A: We will find out the inverse Laplace transform.

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: Find the inverse Laplace transform of the function in the image

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Q: 5.) f(t) = cos (mt) u (7-2)

A: Laplace transform of the function

Q: a. Find the Laplace transform F(s) = f(t)} df thể füñction f(t) + sin(8t), defined on the interval t…

A: Laplace transform of the function

Q: (a) (b) Find the Inverse Laplace transform of the function. 2s +3 5 F (s) + s² +4 s-1 s-7 s² + s-6 +…

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Q: 1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s +21 13 A 8(t) = - 3e-"cosh(5t) +…

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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: Ise the transforms in the table below to find the Laplace transform of the föllowing function. A…

A: Given function ft=cos2t-sin2t . Lft=∫0∞fte-st.dt

Q: 5. (Ci | Show that L{e"t"} = n! in two ways: (s- a)n+1 (a) Use the translation property for F(s).…

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Q: 4- Fct) ost <TT - Sint find L fct) =? Laplace transform

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Q: 2s+4 7. La transformada inversa de Laplace de la función F(s) es igual a: (s2+s)(s2+1) a) f(t) = 4-…

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Q: 1- 3s Find the Inverse Laplace Transform of G (s) = s2+ 8s + 21 -4i sinh (/51) 13 8 (t) = – 3e…

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Q: 24s (s? –1) If the Laplace Transform of F (t) = t sin(t) is f (s) = (82+1) what is the Laplace…

A: We need to find Laplace transform.

Q: a s?-3 s2 +s Let F(s)= be the Laplace transform of f(f). If f(0)= 12, find a.

A: Given that F(s)=as2-3s2+ss3+s+3=Lf(t) and f(0)=12 Now,…

Q: Solution for the inverse laplace transform of (-3/(s+4)) + (1/(s(s+4)))

A: To find the laplace inverse of:-3s+4+1ss+4

Q: 25-3 is s2+1 The inverse Laplace transform of F(s) = Select the correct answer - cos(2r)+ sin(3r)…

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