find Laplace for following L(3cosht- V3 t) S-1 12 s2 4s2 -1 4 O 3 J O 12s 3(s2-1) otherwise

Q: s+2 s2 +4

A: Inverse Laplace transform

Q: Q4. a) Without using the shift formula prove that Laplace of f (t) = e¯“ cos wt is w? (s + a)² + w²

A: Given, ft=e-αtcoswt. To prove that, Lft=s+αs+α2+w2. By definition,…

Q: 8s +7 F(s)= s² +8s + 32

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Q: 3s +4 F ( s ) = s² – 8s + 52

A: Topic = Inverse Laplace

Q: s2 -4s –8 4.) F(s) = (s² -4s + 20)? %3D

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Q: Use the Laplace the giren transfaram to solve in initial-value probleem. y-3y'=82*"-2 y0)=1 y'co)=…

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Q: Q3) If f(t) tsin(at) then its Laplace Transform is given by? %3D a) 2as/(s²+a²)² b) a/s²+a? c)…

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Q: s + 2 F(s) (s – 1)(s – 2)²' -

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Q: 2 Calculate the inverse Laplace of by using Convolution theorem s(s2 +2s+4)

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Q: Calculate the inverse Laplace transfom of s-s3 Select one: Oa. y(t) = 1-e-3 -e3 Ob. y() = ---e Oc.…

A: The correct option is, option (b)   The detailed solution is as follows below :

Q: Find a solution to the given IVP using Laplace and Inverse Laplace Transforms y" + 3y' + 2y = 4t²,…

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Q: A robotic arm produces output f(t) in two different conditions based on the given Laplace Equations.…

A: Solution is given below:

Q: Find the inverse Laplace for 3 eta F(s)=+ 82+16 O a. f(t)=2t3+3sin4t– u(t+4) O b. f(t)=21²+sin4t –…

A: Inverse Laplace transform

Q: Solve the following IVP using Laplace Transform: 1. y" +2y' + y = 8(t – 1) + e2t y(0) = 0, y'(0) = 0…

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Q: II. Find the Inverse Laplace of the following 1 а. s2 +6s+25 s2 b. (s-1)3 7 С. s4 6 8 - - - s3 s2 S…

A: Note: Our guidelines we are supposed to answer only three subpart . Kindly repost other subpart as…

Q: Find the Inverse Laplace of F(s) = = s+3 (s—2)³

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Q: What is the laplace of L(f"(t))? A s2F (s) – sf (0) – f (0) B sF (s) - f(0) Osf (0) - f(0) D s2F(s)…

A: as per our company guideline we are supposed to answer only one question. kindly post remaining qs…

Q: Find the inverse laplace of F(s)=1/(s+1)(s^2+1)

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Q: 7s +11 2.) F(s)= s² – 100 -

A: Given:- F(s)=(7s+11)/(s2-100) To find:- function f(t) given its Laplace transform F(s).

Q: 4+ Find the Laplace Tran SForm 3- 1 Ans. F(s) = 13) 2- s(1+e") 1- 1 3. 4.

A: Please check the answer.

Q: Find the Laplace transform of B S 722 3M 26 20 f(t) = (3+1)te ³t sin 6t 3t ww Zita C in

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Q: F(s) = = S (s+1)5

A: We find the inverse laplace of  F(s)=s/(s+1)5

Q: find the inverse laplace trans F(s): 2s-3 / (s2+2s+10)

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Q: Determine the Inverse Laplace of the following: 1. L(f) : %3D s2+10ns+247n² 2s-1 2. L(f) s2-6s+18 12…

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Q: Find the inverse laplace of: X(s)=(2s+4)/s^2+4s+3

A: Given: Xs=2s+4s2+4s+3

Q: W Q4. a) Without using the shift formula prove that Laplace of f(t) = e¯ª sin wt is (s+a)² +w?

A: The laplace transform of ftLft=∫0∞e-stftdtLet ft=e-at sin wt∴ L e-atsin wt=∫0∞e-st e-at sin wt dt=…

Q: Find the Inverse Laplace of -s?+2s+11 F(s) = а. (s-1)(s+5)(s+1)

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Q: O [6.3] Using the Laplace trans form to solve zVP. 1 4才 ;f o<オく] y(0)= 0 浮1に木 Place transform to…

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Q: 5. Determine the inverse Laplace trans- form of the given function. s+1 (a) s2 + 2s + 10 7s2 41s +…

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Q: 1) The Laplace transform F(s) if f (t) = (2t² – 1)². %3D

A: Our guidelines we are supposed to answer only one question. Kindly repost other question as the next…

Q: 9. 5.) F(s)= s² – 18s + 45 2 %3D

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Q: Find the Laplace transform of f()= et sin(6 t)+9. 4. 6. F(s) = (s-4)2+ 16 s? F(s)= (s- 4)? + 36 %3D…

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Q: 25 +1 F(s) = %3D 2 s+s+1 2. Obtain the inverse Laplace trans 3(s+2)_ F(s) = %3D [Sc

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Q: Find the enverte Laplace tranifory 0f the glven given FG) 2. Fis) s(5=1) (sti) (s-2)

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Q: ve the given ODE using Laplace Transform a. y" – 4y' + 3y = 6t – 8 ; y(0) = 0, y'(0) = 0 -

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Q: 5. Determine the inverse Laplace trans- form of the given function. 7s2 - 41s + 84 (b) (s – 1)(s2 –…

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Q: Q4. a) Without using the shift formula prove that Laplace of f(t)=e“ sin wt is (s +a)² + w²

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Q: Use Laplace transforms to the following dy а. 2 + y = 4 where y(0) = 2 dt d'y dy b. +5. +6y=2 where…

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Q: What is the laplace of L(f"(t))? A SF (s) f(0) (в B s2F (s) – sf (0) - f'(0) © s2F(s) - sf (0) -…

A: Use the definition of laplace transformer and derive the required solution.

Q: Find the Inverse Laplace, f (t) of the following F(s): 1. 4(s+1) Ans: -4e-2t + 4e-3t + 8te-3t…

A: Given 10s3+2s2+5s

Q: Laplace for following L(3cosht t) V3 12 4s2 - 1 O 3 A otherwise s - 1 12s s2 3(s? - 1)

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Q: Find the Laplace of the f(t)in the figure f(1) ► 5 2 t a. b. 0 1 5 (1-2e-s+e-²s) (1-es + e-25) e.…

A: Given: The graph of the triangle   To find the Laplace of ft

Q: L{t2e-tsin2t} fonksiyonunun Laplace dönüşümünü bulunuz?

A: We shall first find L [t2 sin(2t)] Consider  L [t2 sin (2t)] = (-1)2 d2ds2 L [sin (2t)]= d2ds2 L…

Q: Find the inverse laplace of s+5 s²+5s-14 01/e²t - e-7t 2t Oet-e-t 7 0e²+ e-t O Oe-t-et 27t 0 ²/1 e ²…

A: To evaluate the inverse Laplace transform.

Q: Find the Inverse Laplace of the following and show your complete solution F(s) = 5- 2s s² + 25 + 9

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Q: A robotic arm produces output f(t) in two different conditions based on the given Laplace Equations.…

A: Given:- F(s) =(5s+5)/(s2+4s+204)  To find:- Drive f(t) for given function

Q: Calculate the inverse Laplace of: (s-1)e-2 s²+8s +13 ^{²

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Q: Use Laplace transforms to solve dy dy +4. +4y=2e where y(0)=0 and =0 dt2 dt dt. t=0

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Q: 8 4) The inverse Laplace f (t) if F(s): %3D s2+2s+3

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Q: Solve the differenatial equation using Laplace transforms. dy 59 + 4y = 2 dt У (0)%1

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