1 Inverse Laplace transform of is given by (s-3)7 t°e-at 6! t°eat 6! t°e3t t’e3t 7!

Q: e-2t cos 3t cOS

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

Q: 3 Laplace Transform of (sin(2s))³

A: Given:

Q: Determine the inverse Laplace transform of Fisi= (s+1)(s+2)

A:

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

A:

Q: 1. In cases of Laplace transform, specify the region of convergence. Compute the Laplace transform…

A: f(t) = sinπt2  ; 0 ≤ t ≤ 5Laplace transform needs to be found... We know that, Lsin(at) = as2+a2Now,…

Q: Find the Laplace transform of: 1. f(t) = e(-3t) sin(2t) cos(3t) cosh(t)

A: Given that 1) f(t) = e-3tsin (2t) cos (3t) cosh (t) 2) f(t) = 1+sin t + (8t)15 + t2cos 3t We have to…

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-…

A:

Q: 13. ) Find the Laplace transform of a) f) = 3e-t + 2 cos(t) – 5t3/2

A:

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)

A:

Q: 1 Find the Inverse Laplace Transform of s2+2s+ 10 -'cos3t B -Isin9t 3 cost 9 -'sin3t (D 3

A:

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

A:

Q: The Laplace transform of L2 sin 6t sin 3t] is S - s + (3)² s2 + (9)2 S 2s + (9)* s2 + (9)² s² + (3)²…

A: Solution by using trigonometric identities and Laplace transform table as follows :

Q: Determine the Laplace Transform of e1- c cos /7t + sin V5 4. sin /5 12s-7 s2+7 none of the choices 4…

A:

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

A:

Q: 8 3 Find the Inverse Laplace Transform of- + 3s2+ 12 s2– 49 3 4 A) - sin2t + -cosh ( 7t) 7 3 4 –…

A:

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

A:

Q: Determine the Laplace transform of the following using Table 7.1 and the properties of the transform…

A:

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: Find the inverse Laplace transform e-2s L-1 s2 – 4 O 1 zuz sinh(t – 2) sinh2(t – 2) 1 z42 cosh2(t –…

A:

Q: (sin³r} = {1-co52} and find the Laplace transform: S 1 2 -3²+2 S 1 2 O 1(1 1/1 S +4 +2

A: Given formula of sin^2 t is in terms of cos2t. For detailed solution, visit step 2.

Q: What is the Laplace transform of f (t) = e2" (sin 2t – 1)? 16s 16 s6s2 +16s12 6s 16 s 6s2+16s 16 16s…

A:

Q: 2. Determine the Laplace transform of the given function using the Table coshbt te3t sin2 t

A:

Q: What is the value of the inverse Laplace transform given by L 2s+1 8 J s2 +2s +3 O a. e-t (2…

A: Some Laplace inverse transform formulas: L-1(s-a)(s-a)2+b2=eatcosbtL-1b(s-a)2+b2=eatsinbt

Q: Choose the inverse Laplace transform of the function 7s +9 s2 – 6s + 13 None of the others O…

A: Given 7s+9s2-6s+13 Suppose fs=7s+9s2-6s+13 Here, we have to find the inverse Laplace transform of fs…

Q: The Laplace transform of fsin 2t is Select the correct answer Oa 4-2 Ob 4s Oc 1 Od 452-s Oe 2-45 Of…

A: We need to find the Laplace transform L{tsin2t}. We will use the formulas for Laplace transform to…

Q: 5. Determine the Laplace Transform of te2t cos5t s2-2s+11 a. (s²+4s–29)² s2+2s+21 b. (s2+4s+13)2…

A:

Q: 2.) cos (10t+1)

A:

Q: FInd the Laplace transform of cos t cos 2t cos 3t

A:

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

A:

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: -4s Using Laplace transform tables or otherwise, find L-1

A: Please check step 2 for the solution.!

Q: 1: Find inverse Laplace transform of the following functio 1 2) F(s)=- 3 s'+4s

A: find the inverse laplace transform of the given function

Q: date Find laplace transform of if 7. Cos (3¢) if t 7 I

A: Solution: Given function is   f(t)=0                      ,   if   t<π4cos(3t)           ,   if…

Q: The Laplace transform of (sin 5t cos 5t) is_ 1 10 6 [s2 + 10² . 1 10 2 s2 + 102 10 2 s2 – 102 1 10 3…

A: Suppose ft=sin 5t cos 5t We have to find the Laplace transform of ft

Q: VE cos(3f). find the Laplace transform of %3D

A: Laplace transformation is a method used for obtaining the solution of a complex differential…

Q: The Laplace transform of L[2 sin 5t sin 4t is s+ (1)2 s2 + (9)2. 2s s2 +(1)2 s2 + (9)2 s2 + (1)2 s2…

A:

Q: What is the Laplace transform of 8'? 1 se sin s Cos s

A:

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: Laplace transform of (t+2)^2

A:

Q: 1: A :Find Laplace Transform of f(t) = sin²t By Rule.

A:

Q: with the help of convolution find the invese Laplace transform of the function  : 2/s(s+1)

A:

Q: Determine the Inverse Laplace transform for 5s + 2 C-¹{² +65 +13) 1- f(t)= 5e³ sin 3t+ 13 e³ cos 3t…

A: Given problem:-

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: 7s Inverse Laplace transform of is given by s2-9 O 7 cosh(3t) O 7 sinh(3t) O 7 cos(9t) O 7 cos(-3t)

A:

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

A:

Q: (b) Using Laplace transform, evaluate te -2t Cos 2t dt 0.

A:

Q: Find the inverse Laplace transform 01 2 Ou44(1-4) usinh(t — 4) O sinh4(1-4) 0 1 u4cosh4(1-4) 01 4…

A: Given problem:- Find L-1e-4ss2-16