Find v_o(t) for t > 0 using the application of the Laplace Transform. (Note: Does not...
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
I need help with these Laplace problems:)
(1 point) Find the Laplace transform of <9 f(t) = { 0, " I(t - 9)?, 129 F(s) = (1 point) Find the inverse Laplace transform of e-75 F(s) = 52 – 2s – 15 f(t) = . (Use step(t-c) for uc(t).) (1 point) Find the Laplace transform of 0. f(t) t<5 112 – 10t + 30, 125 F(s) =
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
4. Using Laplace Transform, find Vo(t) for t>0 6 k 12 k? 12V
Shavon Clarke 1235) y'' (t) +23y' (t)+120y (t)-o and y(0)#5 and y' (0)-0. The first step in solving this DEQ using the Laplace Transform procedure is to take the Laplace Transform of the DEQ. Determine the Laplace Transform of this DEO. The second step in the Laplace Transform procedure is to solve for Y (s). Determine Y ()(As+B/(s2+Ds+E). Show all the algebraic steps along the way. ans:4 Shavon Clarke * EXAM INSTRUCTIONS BELOW **
Shavon Clarke 1235) y'' (t) +23y'...
Laplace Transform
Problem 3. (15 points) Given f(t) = 4e-2tu(t) + 29u(-t) a) Using the Laplace Transform table 9.2 find the bilinear Laplace transform, F($) and sketch the region of convergence (ROC) in the s-plane showing all poles. State the ROC as an inequality. b) Another function is added so that fa(t) = 4e-2tu(t) + 7u(-t) – 10e-10t u(-t). Find the Bilinear Laplace Transform of fa(t) and sketch the region of convergence in s-plane also showing all the poles. State...
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:$$ f(t)=\frac{12 s^{2}(s+1)}{\left(8 s^{2}+5 s+800\right)(s+5)^{2}(10 s+8)} $$
d) Find the Laplace transform of the following function: f (t = 0 to +09) eat dt e) Find the equivalent solution of (d) using MATLAB method(s) (find 2 methods).
d) Find the Laplace transform of the following function: f (t = 0 to +09) eat dt e) Find the equivalent solution of (d) using MATLAB method(s) (find 2 methods).
Using the definition of the Laplace Transform, and proper notation, find the Laplace transform of fle=10,0<t<2 7,122
QUESTION 3 After use Laplace Transform to transform the following initial value problem X" +x=e-t, x(0) = 1,x'(0) = 1, S-2 you should get X(s)= (write fraction as (S-2)/(5-4)(8+6) for -). Then, find (s-4)(8+6) x(t)= L-?{X(s)}= (write 5/6 by 5 -30 6' e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).