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The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t>...
The Laplace transform of the piecewise continuous function $4, 0<t<3 f(t) is given by 2, t> 3 1 L{f} (1 – 2e-st), 8 >0. S None of them L{f} = (1 – 3e®), s>0. 2 L{f} (3 - e-), 8 >0. S 2 L{f} (2-est), s >0. S
Question 9 3 pts The Laplace transform of the piecewise continuous function 4, 0<t <3 f(t) is given by t> 3 (2, L{f} = { (1 – 3e-*), s>0. O 2 L{f} (2 - e-st), 8 >0. 2 L{f} = (3 - e-st), s >0. O None of them 1 L{f} (1 – 2e -st), s >0.
Question 9 3 pts The Laplace transform of the piecewise continuous function J4, 0< < 3 f(t) is given by 2, t> 3 2 L{f} (2 - e-st), 8 >0. S L{f} (1 – 3e-), 8>0. 8 2 L{f} (3 - e-s), 8 >0. S L{f} = (1 – 2e-st), s > 0. None of them Question 10 3 pts yll - 4y = 16 cos 2t To find the solution of the Initial-Value Problem y(0) = 0 the y...
The Laplace transform of the plecewise continuous function f(t) = S4, 0<t<3 12, t> 3 Is given by [{f} = { (3 – e-"), o>0. None of them 1 [{f} = (1 – 2e-4), 8>0. 0 [11] = (1 – 3e-4), 0> 0. ° L{f} = { (2–e=4), o>0.
Show your complete work. 10 points. The Laplace transform of the piece wise continuous o<t<3 is given by: a) None of them 6) L {f} = = (2-e-st), S70 c)L{f} = 2 (3-e-st), s so dX[f) = 4 (1-2 est), so e) L {f} = } Show your complete wone. = ₃ (1-3e-st), 530
Rewrite the following piecewise continuous function f (t) in terms of the unit-step function. Then find its Laplace transform f(t) = Rewrite the following piecewise continuous function f (t) in terms of the unit-step function. Then find its Laplace transform f(t) =
1. (2 points) Using the definition, find the Laplace Transform of the function: e21, 0<t<3 f(t) = 3<t
Let f(t) be a function on [0, 0). The Laplace transform of f is the function defined by the integral Foto F(s) = e - st()dt. Use this definition to determine the Laplace transform of the following function. 0 e2t, 0<t<3 f(t) = 3<t for all positive si -6 and F(s) = 3+2 e otherwise. The Laplace transform of f(t) is F(s) = (Type exact answers.)
Let f(t) be a function on [0, 0). The Laplace transform of f is the function F defined by the integral F(s) = e-stf(t)dt. Use this definition to determine the Laplace transform of the following function. 0 est 0<t<1 f(t) = 1 <t for all positive sand F(s) = 1 + 5 -5 otherwise. The Laplace transform of f(t) is F(s) = (Type exact answers.)
Problem 3: Consider a continuous function x(t), defined for t 0. The Laplace Transform (LT) for x(t) is defined as: X(s) - Ix(t)e-st dt. Derive the following properties: a) LT(6(t))-1, the ?(t) is the Dirac-delta function b) LT(u(t))-1/s, where u(t) is the unit-step function c) LT(sin(wt))-u/(s2 + ?2) d) LT(x(t-t)u(t-t)) = e-stx(s), ? > 0. e LT(tx)-4x(s).