2 - = 3t y+ x' = 3et * (0) = y (0) = 0 OL (x) = 3s2 (s+1)(s–2)(s²+1) 3(s-1) OL (z) = 76+1) (28²+1) s² (s+1)(2s² +1) O L (x) = (3s+1). s2 (s-2)(2s+1) 3(25-s-1) 2(s+1)(2s² +1) L (x) =

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 64E
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Find L(x).
2y 3t
y + x' =
¤ (0) = y (0) = 0
3et
O L (¤) =
3s2
(s+1)(s–2)(s²+1)
3(8-1)
L (2) =
s2 (s+1)(2s² +1)
(3s+1)
L (x) = 6-2)(2s+1)
3(25-s-1)
5² (3+1)(25²+1)
L (x) =
Transcribed Image Text:Find L(x). 2y 3t y + x' = ¤ (0) = y (0) = 0 3et O L (¤) = 3s2 (s+1)(s–2)(s²+1) 3(8-1) L (2) = s2 (s+1)(2s² +1) (3s+1) L (x) = 6-2)(2s+1) 3(25-s-1) 5² (3+1)(25²+1) L (x) =
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