3. Given that every solution of dy +y = 2xe may be written in the form y = dx for some choice of the arbitrary constant, solve the initial-value problem: dy dx +y = 2xe-x y (0) = 2 (x² + c) e-*,
3. Given that every solution of dy +y = 2xe may be written in the form y = dx for some choice of the arbitrary constant, solve the initial-value problem: dy dx +y = 2xe-x y (0) = 2 (x² + c) e-*,
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
Q3
Transcribed Image Text:3.
Given that every solution of
dy
+y = 2xe may be written in the form y =
dx
for some choice of the arbitrary constant, solve the initial-value problem:
dy
dx
+y = 2xe-x
y (0) = 2
(x² + c) e-,
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