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1. Determine Laplace transform of .
2. Determine if is periodic; if periodic,
calculate the period.
3. Compute the inverse Laplace transform of .
4. For the circuit shown below, find the input/output differential equation.
Please show all work typed or neatly written. 1. Determine Laplace transform of . 2. Determine...
automatic control systems. please show full work and solve
neatly.
Question 4 Find the Laplace Transform of the following time functions. a) ft)-e+sin(2t-3)+te b) g(t)=2e-3, cos(101-3)
Question 4 Find the Laplace Transform of the following time functions. a) ft)-e+sin(2t-3)+te b) g(t)=2e-3, cos(101-3)
Compute the inverse Laplace transform of the following functions (e^-5s)/(s^2+4) show all work
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Determine the inverse Laplace transform of the function below. 1 + 1 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. + Determine the inverse Laplace transform of the function below. 8 +9 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 8 L S + 9 Determine the inverse Laplace...
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...
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3] By the Laplace transform, find the solution of the following initial value problem (0) 0, "(0)1 Hint: Compute (s +1)3.
1. Determine the Laplace transform of the following signals e* .11(t) ; (b) g(t)=Icos(2) + sin(2t)j.u(1-3) ; (c) h(t)-t-e-21. cos(30.11(1) 2. Determine the Laplace transform of the non-periodic signal shown below: h(t) 0 1 2 3 4 t 3. Determine the Laplace transform of the periodic waveforms shown below: fa) f(t) 0 2T 4T 6T 8T 4. Determine the inverse Laplace transform of the following signals 2s (b) G)6s+12 H(s) =s.(14%) (a) F(s)-De (c) (2s +1)(s1 +5s +6 5. Using...
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(a) Find the Laplace transform of the solution of the initial-value problem y" - 4y + 3y = -3x + 2 cos(3x), y(0) = 2, y (0) = 3. 8² +68 is the Laplace transform of the solution of an intitial-value problem. Find the (8 + 1)(82 +9) solution y = y(a) by finding the inverse transform of Y.
Find the Inverse Laplace Transform of the following
functions
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2) a. F(s) = S+3 (s+3)2 + 16 b. F(s) = 1 (s-2)2+4 C. F(S) 1 (s-4) d. F(s) = 6-45
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(1 point) Use the Laplace transform to solve the following initial value problem: y" + y = 0, y(0) = 1, y'(0) = 1 (1) First, using Y for the Laplace transform of y(t), i.e., Y = L(y(0), find the equation you get by taking the Laplace transform of the differential equation to obtain (2) Next solve for Y = (3) Finally apply the inverse Laplace transform to find y(t) y(t) =
do problem 2 and 4
Problem #2 Find the Laplace Transform 5t 2 3 Place Transform of X(t) = te-* cos(2t +30°) Problem #3 Find the Inverse Laplace Tran Tse Laplace Transform of: s+2 F(S) = (y2 +28+2)(s +1) Problem #4 Find the Inverse Laplace Transform 1-03 (s +2)(1 - e-*) F(s) = Problem #5 For F(s) given in Problem #3 find f(0) and f(co). Problem #6 Use Laplace Transform to find x(t) in the following integra differential equation: dx...