question b a) Find the inverse Laplace Transform of: 145+23 F(s) 52 +55+4 (7 marks) b)...
Find the inverse Laplace transform of each function: 3 5. F(s) = 52-85+23
Find the inverse Laplace transform of F(s) 393 +592 + 17s + 35 $4 + 13s2 + 36 (1) First find the partial fraction decomposition Cs + D F(s) As + B (s2 +9) + /(82 +9+ /(+ 4) (52 +4) (2) Next find the inverse Laplace transform f(t) =
(1 point) Find the inverse Laplace transform f(t) = L-i {F(s)) of the function F(s) = 52-9 help (formulas) s+3 s-3
6. (a) Determine the Laplace transform of the function f(t) = 4sin3t + e-2tcos4t. (4 marks) (b) Determine the inverse Laplace transform of the function F(s) 1 $2+25 s+3 (4 marks)
Q20. (a) Describe the differential equation (3) d'y(r)_ydytr) dx dx [6 marks] (b) Apply the Laplace transform to equation (3) below and express the Y(s)-L{y(x)) in s-domain when μ4-YQ . function [14 marks] (c) Apply partial fraction decomposition upon the following system so that the denominator becomes of second order. G, (s) s4-81 [12 marks] (d) Consider the following transfer function. G,(s) (i) Find the function in time domain by applying the inverse Laplace transform on equation (5); assume zero...
Find the inverse Laplace transform of each of the following functions. a. F(s) = 4652 + 4) f(t) = c++{F(s)}(€) = [" 58 b. G(s) = 7 (s – 5)2(52 +36) g(t) = £•*{F(0)}(€) = *
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.
Find the Inverse Laplace Transform of the following functions: a. F(S) = NI b. F(9) = sta c. F(S) = d. F(s) = zi,
b.) Find inverse Laplace Transform f(t) of F(S) = 9% (5²+5-20)
7. Find the inverse Laplace transform L-{F} for F below. F(s) === 5 s4 12 4 42 + + 5-15's+36(s + 11)