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)

College Algebra

10th Edition

ISBN:9781337282291

Author:Ron Larson

Publisher:Ron Larson

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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Question

Please write legibly to avoid confusion of final answer

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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