Find the inverse Laplace transform for-2 -3s e F(s) = s + 5 e 54– 3)u(t – 3) e¯u(t) 0 خيار 2 0 خيار 3 -51t e'u(t – 3) 0 خيار 1

Q: Find the Laplace Transform of the piecewise function. w(t) = { ,0 4. %3D ° s2+e-4s (2+8s+14s²) g2 0…

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Q: Find the Laplace transform of the function: 0, 2 - 8t + 19, t> 4 t < 4 f() = 2 -45 3 2(s) = e 20) =…

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Q: Find the Laplace Transform of the piecewise function. (2 ,0<t<4; w(t) = { í 1? ,t 4. O 252+e-48…

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Q: Give the Laplace transform of 0<x and x <5 5 <x and x <7 -3 f(x) = -2 -s - e +4 e-5- e7+0e-7. FYs) =…

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Q: Obtain the laplace transform of f(t) =e" c4e2t +5)? () (능등) 4 2 S-2 b - 16 40 25 S-3 S-I Stl C. 16.…

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Q: Find the Laplace Transform of (t2 +4t + 2)e3t 4 2 4 (A) (s - 3)3 (s - 3)2 3 2 4 2 (B (s - 3) 3 (s –…

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Q: 4. Determine the Laplace transform of (1+ e-t)? 7s-78-10 a. s(s+1)(s+2) 145+2s+13 b. 5(s+1)(s+2)…

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Q: Find the Laplace transform of f (t) = e2t(3 sin 4t – 4 cos 4t) 3-4s 3-4s A. s2-4s+20 C. s2-4s+16…

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Q: Find the Laplace transform of 6e'cos2t - e 6(8– 5) (8 - 5)2+4 8-7 6s В (8 – 5) 2+4 S- 7 s2+4 s-7 (s…

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Q: Give the Laplace transform of 4x+4 0<x and x < 2 f(x) = -3 2 3x 3 1 + -2s +e 10 3 a) O F(s) = - 5 2…

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Q: Using Laplace transform to solve the IVP: y" - 5y = e", y(0) = 0, y'(0) = 0, then, we have ---…

A: As per guidelines i had solved the first question .kindly post another question separately.

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: * Find the Laplace transform -5 -21 sint f(t) = te' -21 s + 2 2s + 4 (s² + 4s + 5)- (s² + 4s + 5)? 0…

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Q: Determine the inverse Laplace transform of F(s) = ¹/₂- O [e^(-9t)] - [5e^(-4t)] [e^(9t)] - [5e^(4t)]…

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Q: Find the Laplace transform of : F(t) = (e - 2ttn) e-5t %3D | Of(s) = e 8n! s+5 (s+5)8n+1 2(4n)! f…

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Q: Determine the Laplace transform for L{t²e³t} 1- F(s) = O Option 1 2 (s-3)³ 3- F(s) = Option 3 (s-3)²…

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Q: Find the Laplace transform of 6e5tcos2t - e7 6(s – 5) 1 (A (s – 5)2+4 s- 7 B s2+4 s- 7 (s – 5) 1 (s…

A: For the solution of the problem follow the next step.

Q: The Laplace transform of f (t) = e-3t cos(2t) + 2te3t is: 5 1 F(s) s²-6s+34 s2+4s+4 This option s+3…

A: Last option is correct answer . Thankyou !

Q: Find the laplace transform of ƒ (t) = 3t³ − 2e²t + 2 cos 2t OF (S) = OF (s) = OF (s) = OF (s) = OF…

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Q: Give the Laplace transform of 2 0 <x and x < 3 (x) = 3<x and x <4 4 4 3x -3s +e3* + 5 3 -4 + 2 e*'s…

A: Inverse Laplace transferom

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: Which of the following is the Laplace transform of the solution to the initial value problem x" + x'…

A: We will find out the required Laplace transform.

Q: The inverse Laplace transform of H(s) = + (t) ==²e²+e-²t 8 1 " (3s+2)(S-2) b) f(t) ==e+e-2t -3 d)f…

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Q: Find the Laplace Transform of e4t + 5 + - S-4 B 1 + - .4 1 s+4 1 + S+4

A: We have to find the Laplace transform.

Q: Find the Laplace Transform of e 2 cos3t + 5e 2 sin3t - s+2 + s2+9 15 A. g²+9 (s+2) + 15 (s2+4s) + 13…

A: To find the laplace transform of given function first we will use the linearity property of laplace…

Q: The Laplace transform of L e-3tt4| is 4 (s + 3)5 3! (s +4)5 4! (s +3)4 4! (s +3)5

A: To find: Laplace transform of  L[e-3tt4].

Q: Find Laplace transform of R) =-t+1#0st<1 OA 1 es OB 1 1 es OC. 1 1 OD Non of the above. OE 1 1 e-s…

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Q: Find the laplace transform of f(t) = e-3t cos nt s+3 82 -6z+9+7? 8-3 s +6x+9+n 8+3 s2 +6s+9+7 8-3 g2…

A: Solution

Q: Find the Laplace transform of (e^ (2t)) sinh (4t) (-s^3 + 11s 2 1. (e^ (3t)) cos (5t). A. 56s + 196)…

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Q: Find the inverse Laplace transform of F (s) = 5s+2 %3D s² (s²–1) Of (t) = 5 – 2t - že' +e Of (t) =…

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Q: Give the Laplace transform of -4 x- 3 0 <x and x < 2 (x) = 2 2 <x 2 F(s) 1 3 + -2s +e 2 2 +e + -2s 2…

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Q: Find the inverse Laplace transform of e-2s 8 - s2 о (1 - е')u(2 — t) О (1- e-?)(1 - и(t - 2)) O (1-…

A: We will find out the required value.

Q: Use Laplace Transform to find the solution of the IVP -y= 1,y(0) = 0 None of the above. e' O e'-1

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Q: 1. Find the Laplace transform of f(t) = (t-3)u,(t)-(-2)u,(t). (s-3)e2 s +6s +13 2. Find inverse…

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Q: * Find the Laplace transform -5 ado/3 -2t f(t) = te"sint S() 2s + 4 S S + 2S + 1 2 S + 1 s + 2 2s +…

A: This question is based on finding Laplace transform of f(t).

Q: 4. Determine the Laplace transform of (1 +et)2 7s2-7s-10 a. s(s+1)(s+2) 14s2+2s+13 b. s(s+1)(s+2)…

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Q: y''' - 4y''-11y' + 30y = 4e^8t + t^2 using the method of Laplace Transform given that y(0) =0, y'(0)…

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Q: Find the Laplace transform, 0 0st<5 g (t) = { (t-5)² t25 O e^-5s/s^3 O (2e^-5s)/s^3 O (2e^-5s)/s^2 O…

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Q: 2. Determine the Laplace transform of f(t)=teªsin(3t) s-4 а. (s2-3s+5)? 6s-12 b. (s2-2s-6)2 s-4 C.…

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Q: -25 The inverse Laplace transform of F(s) = A. 0.2(1-e St-5))u(t - 5) B. 0.5(1-e 5(-2))u(t- 2) C.…

A: Given  Fs=e-2sss+5

Q: The Laplace transform of L(t-5)²e is 2! 10 (s+3)3 (s+3)2 (s+3) 2! 10 25 (s+3)3 (s+3)2 (s+3) 2! 10 25…

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Q: Find the Laplace Transform of the piecewise function. 2 ,0<t< 4; w(t) = { 2 ,t2 4. 2s²+e-1$ (2+…

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Q: Find the Laplace Transform of cos(2t) + 7sin(2t) S- 14 A s2+2 14 s2+4 s2–4 14 s2+4 s2+4 s+ 14 s2+4

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Q: will rate if correct.

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Q: find the Laplace transform of e4x O 1/(s + 4) O 1/(s² - 4) O 1/(s - 16) O 1/(s - 4) O 4/(s - 4)

A: Given expression e4x. The objective is to find the Laplace transform of e4x.

Q: 2. Find the inverse Laplace Transform of the following left-sided signals a. X(s)=+2s +3 6s² +…

A: To find the inverse Laplace transform of…