Consider the IVP: x" + x = 4et ; x(0) = 1, x'(0) = 3. Find the general solution. A x(t) = 2e¬+sin2t – cost B x(t) = 2e'+ cost – sint c) x(t) = e'+ sinht – cost D x(t) 2e'+ sint – cost

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
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Consider the IVP:
x" + x = 4e ; x(0) = 1, x'(0) = 3.
Find the general solution.
A
x(t) = 2e-+ sin2t – cost
%3D
В
x(t)
2e'+cost – sint
%3D
-
C
x(t) = e'+sinht – cost
D) x(t) = 2e'+sint – cost
|
Transcribed Image Text:Consider the IVP: x" + x = 4e ; x(0) = 1, x'(0) = 3. Find the general solution. A x(t) = 2e-+ sin2t – cost %3D В x(t) 2e'+cost – sint %3D - C x(t) = e'+sinht – cost D) x(t) = 2e'+sint – cost |
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