Solve y" - 3y' + 2y = e¹ sint O y Cle^t + C2e^2t + (1/2)e^t sint + (1/2)e^t cost Oy Cle^t + C2e^2t -(1/2)e^t sint + (1/2)e^t cost Oy Cle^-t + C2e^2t -(1/2)e^t sint + (1/2)e^t cost Oy Cle^t + C2e^2t -(1/2)e^t sint - (1/2)e^t 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
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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Note: Lesson about Solutions of Higher Order Homogenous Linear DE and Undetermined Coefficient and Variations of Parameter.

Solve y" - 3y' + 2y = e¹ sint
O y
Cle^t + C2e^2t + (1/2)e^t sint + (1/2)e^t cost
Oy
Cle^t + C2e^2t -(1/2)e^t sint + (1/2)e^t cost
Oy Cle^-t + C2e^2t -(1/2)e^t sint + (1/2)e^t cost
Oy Cle^t + C2e^2t -(1/2)e^t sint - (1/2)e^t cost
Transcribed Image Text:Solve y" - 3y' + 2y = e¹ sint O y Cle^t + C2e^2t + (1/2)e^t sint + (1/2)e^t cost Oy Cle^t + C2e^2t -(1/2)e^t sint + (1/2)e^t cost Oy Cle^-t + C2e^2t -(1/2)e^t sint + (1/2)e^t cost Oy Cle^t + C2e^2t -(1/2)e^t sint - (1/2)e^t cost
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