Here we use definition of laplace transform
Here laplace transform of given function is exits if s is not equal to zero(0).
1. (5 points) Let 0 <t<4 f(t) = {t, t24 Find L{f(t)} if it exists. For...
Find the Laplace transform of f(0) = 1, for 0 <t<1 5, for 1<t<2. e-l for t > 2
use formula 2. Find the Laplace transform of the function f(t)--2, 2st<4 3,t24
Find the Laplace Transform (d) f(t) = te, 0<t<1, et, t > 1. l
Find the Laplace transform of the function f(t). f(t) = sin 3t if 0 <t< < 41; f(t) = 0 ift> 41 5) Click the icon to view a short table of Laplace transforms. F(s) = 0
Find the Laplace transform F(s) - {0} of the function: f(t) = 1-21 0314 2-34 4 <t<6 14 6 by splitting the integral into three pieces. Enter your answers in order of increasing domain.
2. Let t if 5 < t < 10 f(t) = -{ e3t if t > 10 Use the Heaviside step function to evaluate the Laplace of f. (4 pts.) 3. Find the inverse Laplace transform of the following functions: (i) F(s) = 4s +5 s(s2 + 4s + 5) (3 pts.) -35 (ii) G(s) = 4s + 5 s(s2 + 4s + 5) е (you may use part (i)) (2 pts.)
1. (2 points) Using the definition, find the Laplace Transform of the function: e21, 0<t<3 f(t) = 3<t
Please show work! (1 point) Find the Laplace transform F(s) of f(t) { O, t<6 5 sin(at), 6<t<7 0, t> 7 F(8)
QUESTION 1 5 Find the Laplace transform of the function f(t) t, 0<t<1 1, t > 1
(1 point) S 3, 0<t< 1 =10, 1st<2 Find the Laplace transform F(s) of the periodic function f(t) = with f(t + 2) = f(t) whose graph is given below. What is the minimal period T for the function f(t): T = e-st f(t) dt F(s) = (1 – e-Ts) 1.8 1.0