The inverse Laplace transform of F(s)= 5s+2 is Select the correct answer 3e -5-2t- -5+2r+ 7e 3e -5+2t+ 5-21-1 3e- 2 7e 3e- 5-21+ 30 7e -5-2r+ 2. 3e

Q: Find the inverse Laplace transform of 6e-1s + le-3s + 3e-5s + 2e-8s F(s) = (Use step(t-c) for u.(t)…

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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 following 2. 2y+3y" - 23y' - 12y = 5t-7, y(0) = 0, y'(0) = 0, y"…

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Q: * Find the inverse Laplace transform of F(s) : -4e-2s + 4e-3s + 6e-6s + 3e-7s –7s

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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: Find the Laplace Transform of the piecewise function. ,0 2. 4 j(t) = { 4+5(t – 2)et-2 O 5se2s +4s2…

A: Laplace transferom

Q: Find the Laplace transform of f (t) = e-t(3 sinh 2t – 5 cosh 2t) 3-5s С. C: 52-2s-4 3-5s А. s2+2s-3…

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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: Compute the Laplace transform of the given function. 1. e6t + 5 + e4t + 5t cos (2t) + 7 sin(3t) 3.…

A: The solution for asked question is given as

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: Find the transform of the given function by use of a table. f = 2t sin (-5t) + e 5t CoS (t) -20s s-5…

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Q: Use the Laplace Transform operator to find the Solution of the IVP, 3y" + 5y' - 2y = 4x³ y (0) = 0…

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Q: 3s+2 4. s² – 8s +25 5s2 +8s – 1 5. (s+3)(s²+1) |

A: Given Laplace Equation 4.) 3s+2(s2-8s+25) 5.) 5s2+8s-1(s+3)(s2+1) linearity property of inverse…

Q: Determine the Laplace transform of f(t) = e4t u(t – 2) e-2s s-4 -2s s-4 e2s s-4 e2s s+4

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Q: Find the inverse Laplace transform of F(s)= -7s 4s +7 (s - 4) – 21 (s+1)(2s + 3)(3s +5)

A: Note: Hi! Thank you for the question as per the honor code, we’ll answer the first question since…

Q: Determine the inverse Laplace transform of F(s) %3D O le^(9t)] - [5e^(4t)] O le^(9t)] + [5e^(4t)] O…

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Q: Match the correct inverse laplace transform of the given function. 1-3s 5t 3 + 19e-2t A. s2 + 8s +21…

A: Solution:     1-33S2+83+21The inverse Laplace transformL-11-33S2+83+21=…

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 6e5 cos2t - e7t 6. 1 A s+4 S- 7 6(s - 5) 1 B (s – 5)2+4 s – 7 (s- 5)…

A: Given f(t) = 6e5tcos2t - e7t

Q: (b)Use the Laplace Transform operator to solve p2+4P-15 (1) (i) L-1 (P-1)(p2+9). p+5 (ii) L-1…

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Q: Compute the Laplace transform of the given function. 1. e6t + 5 +e4t + 5t 2. cos (2t) + 7 sin(3t) 3.…

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Q: Determine the Laplace transform of the equation f (x) = 2e-"sin4t 16 A s2+ 4s + 20 20 B s2+ 4s + 20…

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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: Find the Laplace transform of the following: 2y+3y"-23y - 12y = 5t-7, y(0) = 0, y'(0) = 0, y" (0) =…

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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: Give the Laplace transform of 3x f(x): 0 <x and x < 3 -4 3 3x 3 2 + 2 -3s 4 F(s) = + e 3 -3s 15 3 10…

A: Option C is correct.

Q: Find the Laplace Transform of the piecewise function. 4 j(t) = { ,02. %3D 5se 2s +4s2 -8s+4 s2 -2s+1…

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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 f(t) = 6t³ + 4t² 3 F (s) = F (s) F (s) = F (s) = F (s) F(s) = -85³ +…

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Q: Solve for the Laplace Transform of f(t) = t²sin 2t F(s) = F(s) = 16s² 4 (s²+4)³ (s²+4)² -45² (s²+4)³…

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Q: Find the inverse Laplace transform of 3s+2 F(s) = s2-3s+2 OA e+8e2t O B.-5e-t+8e2t OC.- Ste'+ 8e O…

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Q: The inverse Laplace transform of F (s) 5s+2 -is s2 (s² –1) %3D □-5-2t+ 특 + 7e 3e 2 3e t O -5 + 2t +…

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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 Laplace transform of 6e5 cos2t - e7: 6(s-5) A (s- 5)2+4 s-7 (s- 5) (B) (s - 5)2+4 s+ 7 6s…

A: We have to find the Laplace transform of f(t) = 6e5tcos2t - e7t

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: Use Laplace Transform to find the solution of the IVP 1. y"-10y'+9y=5t ---y(0) and y'(0)=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: Find the inverse Laplace transform of: - s-3 i) F(s) = %3D (s-3)2+4 s-2

A: It is known that:

Q: The Laplace transform of L(t + 5)²et is 2! 10 25 (s – 4)3 (s – 4)2 (s – 4) - 2! 10! 25 (s – 4)3 (s –…

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Q: Find the Laplace Transform of (3t + 4e-2t)

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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: By applying inverse Laplace Transform, we get > y(x) = L-1ſ _2s² + 2 Is²(s² + 5). L={ } - L{4 ++}…

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Q: The inverse Laplace transform for F(s) = - is O a. 8e"(-9t)-6sinh3t O b. 8e"(-9t)-6cosh3t O c. 8e…

A: Consider the function: F(s)=8x+9-6x2-3. Find Inverse Laplace Transform. Apply Partial fraction on…

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: The Laplace transform of -2t 2e is 2 2 Select one: O True O False

A: We have to find laplace transform of 2e^(-2t) We know that  L{e^(-at)} = 2/(s+a) Here we have a=2

Q: Determine the inverse Laplace transform of F(s) =+ O le^(-9t)] + [5e^(-4t)] ● (e^(9t)] + [Se^(4t O…

A: Given Fs=1s-9+5s-4 To find the inverse Laplace Transform.

Q: Find the Inverse Laplace Transform 11s – 2s +5 2s3 – 3s2 – 3s + 2 |

A: Given Inverse Laplace Transform isL-111s2-2s+52s3-3s2-3s+2The Inverse Laplace Transform is…

Q: (b)Use the Laplace Transform operator to solve p2+4P-15 (i) L-1 (P-1)(p²+9), p+5 (ii) L-1…

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