QUESTION 4 B i. Consider the piecewise function ii. iii. 6t, 12, 0 ≤t <2, t≥ 2. f(t)= Express the function f(t) in terms of unit step function. Then, show that C{f(t)} 6 6e-28 S² 82 By using convolution theorem, determine 2 C-¹ { 3² (3²-1)} Hence, based on the results in part (i) and part (ii), use Laplace transform to solve the system of differential equations da = y+ dt f(t), dy 4x + HT 0, dt. given that x=y=0 when t = 0. T
QUESTION 4 B i. Consider the piecewise function ii. iii. 6t, 12, 0 ≤t <2, t≥ 2. f(t)= Express the function f(t) in terms of unit step function. Then, show that C{f(t)} 6 6e-28 S² 82 By using convolution theorem, determine 2 C-¹ { 3² (3²-1)} Hence, based on the results in part (i) and part (ii), use Laplace transform to solve the system of differential equations da = y+ dt f(t), dy 4x + HT 0, dt. given that x=y=0 when t = 0. T
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.5: Graphs Of Functions
Problem 58E
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