If the series y(x) = C, x" is a solution of the differential equation 3y" – 5xy = 0, then Cn+2 = Сп-1, п 3 1,2, ... n=0 A general solution of the same equation can be written as y(x) = CoY1 (x) + C1Y2(x), where Y1 (x) = Σ ", do = 1, n=0 Y2 (x) = b, x³3n+1, bo = 1 n=0 Calculate aj = az = 6, = b2 b3
If the series y(x) = C, x" is a solution of the differential equation 3y" – 5xy = 0, then Cn+2 = Сп-1, п 3 1,2, ... n=0 A general solution of the same equation can be written as y(x) = CoY1 (x) + C1Y2(x), where Y1 (x) = Σ ", do = 1, n=0 Y2 (x) = b, x³3n+1, bo = 1 n=0 Calculate aj = az = 6, = b2 b3
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 the series y(x) =
C, x" is a solution of the differential equation 3y" – 5xy = 0, then Cn+2 =
Сп-1, п 3 1,2, ...
n=0
A general solution of the same equation can be written as y(x) = CoY1 (x) + C1Y2(x), where
Y1 (x) =
Σ
", do = 1,
n=0
Y2 (x) = b, x³3n+1, bo = 1
n=0
Calculate
aj =
az =
6, =
b2
b3
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