e the Laplace transform to solve the given initial-value problem. 2y"" + 3y" - 3y' - 2y = e-t, y(0) = 0, y'(0) = 0, y"(0) = 1 ) = e -t + 8 − ( ²½-) ¹ __5_ 15 1 -2t + 5/8e²+ 1/3 e ² et. 18 е

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter6: Applications Of The Derivative
Section6.CR: Chapter 6 Review
Problem 41CR
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Use the Laplace transform to solve the given initial-value problem.
2y"" + 3y" - 3y' - 2y = e-t,
y(t) =
1
-e
2
t
+
8 - ( 1 ) t
15e
+
y(0) = 0, y'(0) = 0, y"(0) = 1
5
iset
se² +
18
1
ge
- 2t
Transcribed Image Text:Use the Laplace transform to solve the given initial-value problem. 2y"" + 3y" - 3y' - 2y = e-t, y(t) = 1 -e 2 t + 8 - ( 1 ) t 15e + y(0) = 0, y'(0) = 0, y"(0) = 1 5 iset se² + 18 1 ge - 2t
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ISBN:
9780321964038
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