Use power series to solve the initial-value problem Answer: y = Σ 800 n=0 y" +3xy' +6y=0, y(0) = 0, y' (0) = 1. 0 x2n+ (-1)^n (3^n) (1/(2(n))) x2n+1 n=0
Use power series to solve the initial-value problem Answer: y = Σ 800 n=0 y" +3xy' +6y=0, y(0) = 0, y' (0) = 1. 0 x2n+ (-1)^n (3^n) (1/(2(n))) x2n+1 n=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:Use power series to solve the initial-value problem
y" +3xy+6y=0, y(0) = 0,
Answer: y =
M8
0
x
+
n=0
n=0
y' (0) = 1.
(-1)^n*(3^n)*(1/(2^(n)))
x2n+1
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