Which of the following expressions' inverse Laplace transform is the solution to the initial value problem 2" – 2a' + 2x = 0, x(0) = 0, x'(0) = 1 ? %3D Lütfen birini seçin: 1 s2 +s – 2 1 s2 + 4s – 2 s2 – 2s + 2 s2 + 2s + 4 s2 – 2s + 4 1.

Q: 1. f(t) = 5(e^-4t)[cos(10t)] A. (5s – 20) / (s^2 - 8s + 116) B. (s - 4) / (s^2 - 8s + 116) C. 50 /…

A: Laplace transferom of the function

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A: The given inverse Laplace transform .We have to find the inverse Laplace transform.

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Q: B/Fnd Z transform z(n) = " (n) – u(n-5))

A: Given equation: x(n)=15nun-un-5

Q: 3) x(t) te-at 1 4) x(s) = (Sta)2

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Q: 2. y" – 2y' = -4 y(0) = 0, y'(0) = 4

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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: Find the inverse laplace transform of the followings; a)  X(s)=(s+2)/(s^2+2s+5)…

A: a) Xs=s+2s2+2s+5 Apply Laplace Inverse transform…

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Q: Evaluate the inverse Laplace transform s+8 ~²{; 4s + 29

A: The function is .To illustrate the inverse Laplace transform for .

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Q: Laplace transform of x(t) = cos(4f)u(t) %3D 16 X (s) = s* +16 4 X (s) = s* +16 X(s)D s? +4 X(s) = s´…

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Q: The Laplace Transform of d(t) = * O -1/(s+6) O 1/(s-6) 1-/s O 1/s O 1/s^2 O 1 O 1/s^3

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Q: Find the inverse Laplace transform. 1.1.1 s^2/(s^2+1)^2 1.1.2 1/s^2+4s+20 1.1.3…

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Q: What is the Laplace transform of f(t) = (t^2)sinh(8t). %3D O (1024 + 48s^2)/(s^2+64)^3 O (1024 -…

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Q: y"+2"-z' = 0 y' + z 221-ex - Yo = 0, y = 1 20= 1, 2 = 1

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Q: O O 0 -1 -3s -3se-3 s²(1 − e^³ª) [−3se¯³ª − e ³ + 1] -3se 3-³-1] $²(1-es) -3se $² (1-3) -3se ³³ + e…

A: To determine the Laplace transform of the below periodic function. ft=−t,    0<t<3,    ft+3=ft

Q: Sº 2 19. s³ +85² + 7s

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A: We are given the differential equation :  2y''-3y'-2y=te2t Applying Laplace transform to both the…

Q: 4.The inverse Laplace transform of { S-3 } is (s-3)2+16

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.