2 1.5 1 0.5 o -0.5 -1 -1.5 -2 0 2 3 4 t (a) Find the Laplace Transform, F(s). (b) Solve the following IVP for the given f(t): 5 6 6. Write the function f(t), described by the graph above, in terms of Heaveside unit step func- tions, H(t-a). y+3y=f(t), y(0) = 0 8

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2
1.5
1
0.5
o
-0.5
-1
-1.5
-2
0
2
3
4
t
(a) Find the Laplace Transform, F(s).
(b) Solve the following IVP for the given f(t):
5
6
6. Write the function f(t), described by the graph above, in terms of Heaveside unit step func-
tions, H(t-a).
y+3y=f(t), y(0) = 0
8
Transcribed Image Text:2 1.5 1 0.5 o -0.5 -1 -1.5 -2 0 2 3 4 t (a) Find the Laplace Transform, F(s). (b) Solve the following IVP for the given f(t): 5 6 6. Write the function f(t), described by the graph above, in terms of Heaveside unit step func- tions, H(t-a). y+3y=f(t), y(0) = 0 8
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