Suppose that Yı and y2 are distinct particular solutions to y" + p(t)y' + q(t)y = 2 cos(t). Which of the following would be another particular solution to this equation? O y1 – Y2 O yı + Y2 O 2y1 + Y2 O 3y1 – 2y2 O 3y1 + 3y2
Suppose that Yı and y2 are distinct particular solutions to y" + p(t)y' + q(t)y = 2 cos(t). Which of the following would be another particular solution to this equation? O y1 – Y2 O yı + Y2 O 2y1 + Y2 O 3y1 – 2y2 O 3y1 + 3y2
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question

Transcribed Image Text:Suppose that Y1 and y2 are distinct particular solutions to
y" + p(t)y' + q(t)y = 2 cos(t).
Which of the following would be another particular solution to this
equation?
O y1 – Y2
Y1 + Y2
O 2yı + Y2
Зу1 — 2у2
-
О Зул + Зу2
Expert Solution

Step 1
Since, y1 and y2 are the solution so they satisfy the given differential equation use this fact to obtain another particular solution.
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