We are given the initial value y(0) = 2. Substituting this value and solving for L{y} gives the following result. sLy} - v(0) + 4Ly} S - 5 1 sL{Y} + 4L{y} S- 5 L{y}(s + 4) + S - 5 1. Liy} (s - 5)(s + 4) s+ 4 2s - L{y} (s - 5)(s + 4)
We are given the initial value y(0) = 2. Substituting this value and solving for L{y} gives the following result. sLy} - v(0) + 4Ly} S - 5 1 sL{Y} + 4L{y} S- 5 L{y}(s + 4) + S - 5 1. Liy} (s - 5)(s + 4) s+ 4 2s - L{y} (s - 5)(s + 4)
Chapter5: Exponential And Logarithmic Functions
Section5.4: Exponential And Logarithmic Equations
Problem 83E: The number N of beavers in a given area after x years can be approximated by N=5.5100.23x,0x10. Use...
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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.
SLiy} - y(0) + 4L{y}
S- 5
sL{y}
+ 4L{y}
S- 5
Liy}(s + 4)
S - 5
1
L{y}
+
(s - 5)(s + 4)
s+ 4
2s
Ly}
(s
5)(s + 4)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5085ac77-62eb-41f7-a43e-d213f0473bb9%2F7197926f-d20e-458a-9d71-e5f7046ef666%2Fzer7ecp_processed.png&w=3840&q=75)
Transcribed Image Text:We are given the initial value y(0) = 2.
Substituting this value and solving for L{y} gives the following result.
SLiy} - y(0) + 4L{y}
S- 5
sL{y}
+ 4L{y}
S- 5
Liy}(s + 4)
S - 5
1
L{y}
+
(s - 5)(s + 4)
s+ 4
2s
Ly}
(s
5)(s + 4)
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