Y : k=0 y' + (2x + 1)y = 0, rrence relation. For k > 0,
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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Transcribed Image Text:If
y = apa*
k=0
is a solution of the differential equation
y' + (2x + 1)y = 0,
then its coefficients af satisfy the following recurrence relation. For k > 0,
ak+2
ak+1+
ak . help (formulas)
We also have
a1
ao . help (numbers)
Therefore, write the first few terms of a solution where y(0) = 1
y =
+
x+
x²+
x4 + ... help (numbers)
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