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s-3 12. Find the given inverse Laplace Transform. 2-1 Show transcribed image text
3. Find the inverse Laplace transform of F(s)-
3. Find the inverse Laplace transform of F(s)-
Find the inverse Laplace transform of the given function: F(S) = 3! (s – 2)
Use the convolution theorem to find the inverse Laplace transform of the given function. 2 s(s? +1) 2 3 (s2 +1)
Laplace Transform
12 12 + s+12 s+8 Problem 4 (15 points) : Find the inverse Laplace transform of: Fo(s) a) If the ROC is defined as: -12 < Re(s)<-8 b) If the ROC is defined as: Re(s) > -8
Problem 1: Find the Laplace transform X(s) of x(0)-6cos(Sr-3)u(t-3). 10 Problem 2: (a) Find the inverse Laplace transform h() of H(s)-10s+34 (Hint: use the Laplace transform pair for Decaying Sine or Generic Oscillatory Decay.) (b) Draw the corresponding direct form II block diagram of the system described by H(s) and (c) determine the corresponding differential equation. Problem 3: Using the unilateral Laplace transform, solve the following differential equation with the given initial condition: y)+5y(0) 2u), y(0)1 Problem 4: For the...
3. Given the function s) = 2s2 + 2s + 1 (a) Find the inverse Laplace transform analytically, BY HAND CALCULATIONS
3 B 1. Find the third roots of 21+ Find the inverse of the Laplace transform 2. tan" G) 3. Check the existence of the Laplace transform for the given function and hence she that -02:49 in 133+ 4 S- where LF(t)) is represent the place transform of (1) [Hint: 2 cos Acos B = (A-2).sin(A+B) + sin(A - m = sin cos sin(A + B) - Sin(A) = 0 4. Find the Fourier Sine series of f(x) <rci 5....
Use the convolution theorem to find the inverse Laplace transform of the given function. 5 $3 (s? +1) 2143760-1)} (t) = (s? +1)
find inverse laplace transform and show steps! thank
you.
3 e-s (6+1 1 S — 1
Use appropriate algebra and Theorem 7.2.1 to find the given
inverse Laplace transform. (Write your answer as a function of
t.)
ℒ−1
6s − 12
(s2 + s)(s2 + 1)
Use appropriate algebra and Theorem 7.2.1 to find the given inverse Laplace transform. (Write your answer as a function of t.) il 65 - 12 (s2 + s) (s2 + 1)