ANALYSIS+DESIGN OF LINEAR CIRCUITS(LL)
8th Edition
ISBN: 9781119235385
Author: Thomas
Publisher: WILEY
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I.
Find the Laplace Transform of the following:
t
a. Se-2t sin 5t dt
d
b.
e-t cos 10t)
dt
what is the laplace transform of the given differential equation? y'' - 2y' - 1 = 0 , y (0) = 0 , y' (0) = 1
What will be the Laplace transform of the function x(t)=10u(t)?
Please show me step by step solution since I am new in this domain.
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- What will be the Laplace transform of tu(t). u(t) is step function, amp 1.arrow_forwardDetermine the z-transform of the following sequence: y(n) = (0.5)(n-5).u(n – 5)arrow_forwardi. Determine from first principles the Laplace Transform of t+2e=t -6s+85-56 ii. Show that f (t) = {4sin (2t) – 6e“} =F+4)(3-4)arrow_forward
- The Laplace transform of the following function is: f(t) = 8u(t-1) + 2u(t − 5) – u(t) - Select one: a. F(s) = §els b. O ○ c. F(s) = F(s) = O d. F(s) = = els es 90/0000100 e - - + / e-8 2 - e+e- ³ + 3/2e - 1 8² e + ²/e-58-1 8 Sarrow_forwardFind out the Laplace Transform of x(t)=tu(t). Attempt only if you are confident enough to solve properly.arrow_forwardInstructions: • Write the GIVEN with their respective symbols and units. Do not skip the SOLUTIONS, do it step-by-step with their respective symbols and units Problem: Using the convolution integral find the inverse transform of 1/s(s + 2). Answer: |[1 – e-2"]arrow_forward
- QUESTION TWO a. Prove from first principles that the Laplace Transform of t+2e is in the form of a fraction.arrow_forwardDetermine the z transform ofthe following n+3 xn) = n3) U (n+3) %3Darrow_forwardFind L(sint sin 2t sin 3t) Find L(1+e-³¹ - 5et) H.W -3t é 01 Find the Laplace Transform of f(t) = 0arrow_forward
- Answer All of the Questions Below 1. Find the inverse Laplace Transform of the following function below. i. F(s) = s+ 5 s? + 8s + 65 ix. F(s) = 49 7s + 21 ii. F(s) 5s? + 14s + 2 (s-2)(s+4)? %3D X. F(s) = 3s (s+3)² + 64 iii. F(s) 3s + 4 s? + 16 %3D 2s - 3 2s2 - 8s + 16 xi. F(s) = iv. F(s) = _ 5s² + 14s + 2 (s-2) (s+3)? xii. F(s) =, s? + 12 s (s+1)(s+3) v. F(s) =. s + 5 (s+3) + 9 %3D 10s? + 4 s (s+1)(s+2)² xii. F(s) = vi. F(s) 8s + 2 s? + 3s + 2 xiii. F(s) = 1 s (s? + 6s + 9) vii. F(s) = s? + 3s + 1 (s? + s) xiv. F(s) = 3s + 2 s? + 3s + 2 viii. F(s) 8(s + 2) (s+1)(s+3)(s+5)arrow_forwardQuestion: - Find the Laplace Transform of the four functions? 4- f(t) = t sin(t) e-5t dt %3Darrow_forwardThe inverse Laplace transform of the following function is: 6. F(s) = (s+5)4 %3D O a. He-5tu(t-5) Ob Be-5tu(t) 6e-5tsin(t)u(t) | O d. None of the answers 6e-5tcos(t)u(t) e. N agearrow_forward
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