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If the series y(x) = > C, a" is a solution of the differential equation 2y" – 6x°y' + ly = 0, then Cn+2 = Cn-1+ n=0 Cn, n = 1, 2,.. A general solution of the same equation can be written as y(x) = coy1(x) + C1Y2(x), where Y1 (x) = 1+ `a,x", n=2 Y2 (x) = x + > b, x", n=2 Calculate a, = az = a4 = b2 = b3 = b4 =

If the series y(x) = > C, a" is a solution of the differential equation 2y" – 6x°y' + ly = 0, then Cn+2 = Cn-1+ n=0 Cn, n = 1, 2,.. A general solution of the same equation can be written as y(x) = coy1(x) + C1Y2(x), where Y1 (x) = 1+ `a,x", n=2 Y2 (x) = x + > b, x", n=2 Calculate a, = az = a4 = b2 = b3 = b4 =

Advanced Engineering Mathematics
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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If the series y(x) = > Cnx" is a solution of the differential equation 2y" – 6x y' + ly = 0, then c,+2 = Cn-1+ n=0 Cn , n = 1, 2, ... A general solution of the same equation can be written as y(x) = CoY1 (x) + C142 (x), where Ул (х) — 1 + )а,т", n=2 Y2 (x) = x + Calculate az = a4 = b, = bz = b4 =
Transcribed Image Text:If the series y(x) = > Cnx" is a solution of the differential equation 2y" – 6x y' + ly = 0, then c,+2 = Cn-1+ n=0 Cn , n = 1, 2, ... A general solution of the same equation can be written as y(x) = CoY1 (x) + C142 (x), where Ул (х) — 1 + )а,т", n=2 Y2 (x) = x + Calculate az = a4 = b, = bz = b4 =
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