5. specify the correct letter answe
Option c is correct. Explanation are given below
5. specify the correct letter answe 1 st3 Gwten the Laplace transform is applied to the...
Differntial equations Classwork 1. Find the inverse Laplace transform of the given functions. (k) Y(s) = (1) Y(s) = ? (m) Y(s) = 52 +58 +4 (n) y .)_ 1 (n) Y(s) = 53 +52 (0) H(-) = 32 + 25 + 4 1 ZS 4 (p) F(s) = * e-s (q) G(s) = (8 + 1)2 + 3 (r) H(s) = (s + 4)3
1) Laplace transforms/Transfer functions Use Laplace transform tables!!!! 1.1: Find the Laplace transform of - 4t) f(t) = lc + e *).u(t) (simplify into one ratio) 1.2.. Find the poles and zeros of the following functions. Indicate any repearted poles and complex conjugate poles. Expand the transforms using partial fraction expansion. 20 1.2.1: F(s) = (s + 3).(52 + 8 + 25) 1.2.2: 252 + 18s + 12 F(s) =- 54 + 9.5? + 34.5² + 90-s + 100
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
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:$$ f(t)=\frac{12 s^{2}(s+1)}{\left(8 s^{2}+5 s+800\right)(s+5)^{2}(10 s+8)} $$
Question 1 Find the final value of x(t) with laplace transform: 53 +25 +as+b c54 +55 +25 +65 X(5)=- where a-23, b=37, and c=46. Question 2 Which one of the following represents the Laplace inverse of Y(s) = 4 y(t) = 4t ,120 y(t) = 4u(t) Cy(t)= e-4, t 20 y(t) = 45(t)
Use Laplace Transform to identify Y(s) of the DE: " + y = cost, with given conditions y(0) = 1, y'(0) = 0. (Do not solve for y.) y (3) 8(82+2) None of them Y(8) = 1 - 2 32+1 + (52+1) (52 +1) Y(s) s(s2 +2) $2+1
Question 1: [25 pts] S+1 a) Find the inverse Laplace transform of the expression $2+4 b) Find the inverse Laplace transform of the expression (s-5)(s2+4) c) Use the information from the parts a) and b) to find the solution of the IVP y" + 4y = 6e5t, y(0) = 1, y'(0) = 1.
please answer all!!' i really need these! Determine the inverse Laplace transform of the function below. 1 + 1 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. + Determine the inverse Laplace transform of the function below. 8 +9 Click here to view the table of Laplace transforms. Click here to view the table of properties of Laplace transforms. 8 L S + 9 Determine the inverse Laplace...
Find the Laplace transform of the following continuous-time signal. x(t)=2 e-*cos(30)u(t) Your answer: 5+1 X(s) = s? + 25 + 10 Ox(s) = 25+ 2 52 + 25 + 10 X(s)= 25+2 52 + 25 +9 o X(s)= 5 + 1 s²+25+9 X(s) = 35+3 52 +2s + 10
Use Laplace Transform to identify Y(s) of the DE: y"-y'-by = 0, given y(0) = 1, y'(O) = 2. O None of them Both are correct. Y(s) = 4 5(8-3) + 5(8+2) OY (s) = 8+1 (5-3)(8+2)