Consider the initial value problem. Construct a particular solution by assuming the form xp(t) = ae2t+bt+c and solving for the undetermined constsnt vectors a, b, and c. Then, solve the initial value problem. (details in attached screenshot)

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter3: Functions And Graphs
Section3.3: Lines
Problem 32E
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Consider the initial value problem.

Construct a particular solution by assuming the form xp(t) = ae2t+bt+c and solving for the undetermined constsnt vectors a, b, and c.

Then, solve the initial value problem.

(details in attached screenshot)

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