Find the laplace transform of the following
function
I(t) = 10^4 t *u(t)-10*4 t + 100*10^-6 * u(t-10*10^-9)
Just to clarify that is a negative 6 in the exponential term
Find the laplace transform of the following function I(t) = 10^4 t *u(t)-10*4 t + 100*10^-6...
Problem #6: Find the Laplace transform of the following functions 4 0<t 3 9 tz3 (a) f(t) (b) f(t) 9>10 7 0 t2 6 0 t</9 cos[10(/9) tz n/9 f(f = symbolic Enter your answer as a function of s, as in these examples Problem #6(a): symbolic Enter your answer as a function of s, as in these examples Problem #6(b): Enter your answer as a symbolic function of s, as in these examples Problem #6(c):
Problem #6: Find the...
Question (2): Laplace Transformsa) Find the Laplace Transform of the following using the Laplace Transform table provided in the back:$$ f(t)=\frac{1}{4}\left(3 e^{-2 t}-8 e^{-4 t}+9 e^{-6 t}\right) u(t) $$b) Find the inverse Laplace Transform \(F(s)\) of the following function \(f(t)\) using the table:$$ f(t)=\frac{12 s^{2}(s+1)}{\left(8 s^{2}+5 s+800\right)(s+5)^{2}(10 s+8)} $$
10. (10 points) Find the Laplace Transform of the function f(t), where -{ Sin(t) 0st2T Otherwise f(t) 0 Just as an FYI, I have included a plot of f(t) in figure 1 t-T t 2t Time t 0 Figure 1: A plot of the function f(t) defined in problem 10.
Find Laplace Transform
Find the Laplace transform F(s) = ({f(t)} of the function f(t) = 4 + 4 + sin(8t). F(s) = ({4+4+" + sin(8t)} =
Find the Laplace transform of the periodic function below. f(t) = { 8 if 0 < t < 1 0 if i<t<2 ; f(t + 2) = f(t) f(0) 2 3 -4 -6 7 Q
(4) Find the Laplace transform of this function: Set if 0 <t <2, 0 if 2 <t.
4.- (25) Find i(t) two ways: a) in the time domain 6) using the Laplace Transform t=0 sec + 10 cost Volts 112 lovelts 14
4. Find the Laplace transform of the following function. 0 st<1 t + 1 1s1<2 g(t) = 2st<3 01
Using the table of Laplace Identities, find the Laplace Transform of: g(t) = U(t − 4)te−t
Find Laplace transform of ?(?) = 2 + 5? Find Laplace transform of ?(?) = 2?-t + 3??-4t Find time function corresponding to this Laplace transform: ?(?) = (2s2+s+1)/(s3-1) Solve this ODE using Laplace transform : ?̈(?)+2?̇(?)+4?(?)=0; ?(0)=1, ?̇(0)=2 Solve this ODE using the Laplace transform : ?̈(?)−2?̇(?)+3?(?)=0; ?(0)=2, ?̇(0)=1