Can anyone tell me how to do it in Laplace transform?
L^-1 {((s-4)/(s^2+5)^2)+(s/(s^2+2))}
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how to do it in laplace transform. I need some help thank you!L^-1 {((s-4)/(s^2+5)^2)+(s/(s^2+2))}
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...
I was looking for the Inverse Laplace Transform for the problem
above and I got this answer, but without the step function, u(t). I
don't understand why the step function, u(t) was added to the
answer. Can someone explain why it's part of the answer? Can you
also tell me, for future problems, how would I know to put u(t)?
Like in what kind of problems and what to look out for?
Edit: The last part of the answer should...
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
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. se{2+² e - 5t - e4 COS V3t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. L{2t2 e - 5t – e 4 cos 13t} = (Type an expression using s as the variable.) b. What is the restriction on s? S> (Type an integer or a fraction.)
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using elimination method, for x(s), and y(s). b. Apply inverse-Laplace transform (L:'T) to the system of s-functions, then solve for x(t), and y(t)
1. Solve the system of equations using Laplace Transform(LT): With IV: x(0) 4 With IV :y (0)-5 a. Apply Laplace transform (LT) to the system and solve, by using...
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:$$ f(t)=\frac{12 s^{2}(s+1)}{\left(8 s^{2}+5 s+800\right)(s+5)^{2}(10 s+8)} $$
Use the Laplace transform table and the linearity of the Laplace transform to determine the following transform. Complete parts a and b below. L{57* e -4- et cos ,/5t} Click the icon to view the Laplace transform table. a. Determine the formula for the Laplace transform. Ll{5t* e -4- e 3t cos 5t} = (Type an expression using s as the variable.) b. What is the restriction on s? s>(Type an integer or a fraction.)
(write fraction as After use Laplace Transform to transform the following initial value problem rret, x(O)= 1,x'(0)=1, you should get X(s)= S-2 (S-2)/(5-4)(8+6) for -). Then, find x(t) = L-?{x(s)}= (s – 4)(s+6) 5 -3t (write 5/6 by 6' , e^{-3t} by e and sin(2t) or cos(3t) by sin(2t) or cos(3t)).
Fourier transform from Laplace transform-The Fourier transform of finite support signals, which are absolutely integrable or finite energy, can be obtained from their Laplace transform rather than doing the integral. Consider the following signals 5.30 x3(t) - r(t + 1) - 2r(t) + r(t - 1) (a) Plot each of the above signals. (b) Find the Fourier transforms (X,(S2)) for1, 2, and 3 using the Laplace transform (c) Use MATLAB's symbolic integration function int to compute the Fourier transform of...