The power series solution of the differential equation y" + x y = 0 has a solution of the form Ca (1 + Žasua") + L• C1 (x + 3n 23n+1 A3n+1x n=1 n=1 Find the coefficient a6. 120 1 112 1 81 O 1 256 180 1624 1 360

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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The power series solution of the differential equation y" +xy = 0
has a solution of the form
= C«(1 + Lasnm) + Ci (z +
") + C1 (x + a3n+1®*
a3n x
23n+1
y =
n=1
n=1
Find the coefficient a6.
1
120
1
112
81
1
256
1
180
1
1624
1
360
1
720
Transcribed Image Text:The power series solution of the differential equation y" +xy = 0 has a solution of the form = C«(1 + Lasnm) + Ci (z + ") + C1 (x + a3n+1®* a3n x 23n+1 y = n=1 n=1 Find the coefficient a6. 1 120 1 112 81 1 256 1 180 1 1624 1 360 1 720
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