We are given the initial value y(0) = 2. Substituting this value and solving for L{y} gives the following result. 1 s£{y} − y(0) + 4£{v} = 5¹3 S-3

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Chapter1: Functions And Models
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We are given the initial value y(0) = 2.
Substituting this value and solving for L{y} gives the following result.
SL{y}
2
SL{y} − y(0) + 4L{y}
L{y}(s + 4)
1
) + 4£{y} = 5 ² 3
L{y}
=
L{y}
=
1
5- 3
=
1
S-3
+ 2
1
(s - 3)(s + 4)
25-
+
2
(s - 3)(s + 4)
S + 4
1x )
Transcribed Image Text:We are given the initial value y(0) = 2. Substituting this value and solving for L{y} gives the following result. SL{y} 2 SL{y} − y(0) + 4L{y} L{y}(s + 4) 1 ) + 4£{y} = 5 ² 3 L{y} = L{y} = 1 5- 3 = 1 S-3 + 2 1 (s - 3)(s + 4) 25- + 2 (s - 3)(s + 4) S + 4 1x )
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