x"'(t) - 3x"(t) - 4x'(t) + 12x(t) = 12et; x(0) = 4, x'(0) = 2, x"(0) = 18 %3D %3D %3D
x"'(t) - 3x"(t) - 4x'(t) + 12x(t) = 12et; x(0) = 4, x'(0) = 2, x"(0) = 18 %3D %3D %3D
Functions and Change: A Modeling Approach to College Algebra (MindTap Course List)
6th Edition
ISBN:9781337111348
Author:Bruce Crauder, Benny Evans, Alan Noell
Publisher:Bruce Crauder, Benny Evans, Alan Noell
Chapter2: Graphical And Tabular Analysis
Section2.1: Tables And Trends
Problem 1TU: If a coffee filter is dropped, its velocity after t seconds is given by v(t)=4(10.0003t) feet per...
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Solve the given DE using laplace transforms. answer is provided but show solution
![x"'(t) - 3x"(t) - 4x'(t) + 12x(t) = 12et; x(0) = 4, x'(0) = 2, x"(0) = 18
Answer: x(t) = et + et + 2 cosh(2t)](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F4c04b1eb-fbab-4a5f-92b4-7737707cd3b9%2Fb52fdce6-60a1-462b-b35f-67715a1cb85c%2Fv1tbn2w_processed.png&w=3840&q=75)
Transcribed Image Text:x"'(t) - 3x"(t) - 4x'(t) + 12x(t) = 12et; x(0) = 4, x'(0) = 2, x"(0) = 18
Answer: x(t) = et + et + 2 cosh(2t)
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