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Use the procedure in Example 8 in Section 6.2 to find two power series solutions of the given differential equation about the ordinary point x = 0. y' + e'y' – y = 0 1,3 ܐ ܐܨܐ ܀ Oy=1+ Oy, =1+ 2 Oy =1+ 2 ܐ ܀ ܐ1 ܐ ܐ ܐ ܐ ܡܕܩ ܕܕܢܨ … + ܟ ܕܡܐ ܕ ܕ y .. - ܐܐܐܐ ܥܡܐ ܟܥܫܐX + ܢ -Oy: = 1-x Oy:=1+_x+x + 2 and y2 - X - 3 and y, = x + and y, = x - and y2 - X - +ܐ and y2 = x 4 ܐܨܐ ܐܐ + 13 4 + + - 6 9 + 1x2 + 1x³ + 9 - 1 24 1 24 1 16 1 16

Use the procedure in Example 8 in Section 6.2 to find two power series solutions of the given differential equation about the ordinary point x = 0. y' + e'y' – y = 0 1,3 ܐ ܐܨܐ ܀ Oy=1+ Oy, =1+ 2 Oy =1+ 2 ܐ ܀ ܐ1 ܐ ܐ ܐ ܐ ܡܕܩ ܕܕܢܨ … + ܟ ܕܡܐ ܕ ܕ y .. - ܐܐܐܐ ܥܡܐ ܟܥܫܐX + ܢ -Oy: = 1-x Oy:=1+_x+x + 2 and y2 - X - 3 and y, = x + and y, = x - and y2 - X - +ܐ and y2 = x 4 ܐܨܐ ܐܐ + 13 4 + + - 6 9 + 1x2 + 1x³ + 9 - 1 24 1 24 1 16 1 16

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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Use the procedure in Example 8 in Section 6.2 to find two power series solutions of the given differential equation about the ordinary point x = 0. y' + e'y' – y = 0 1,3 ܐ ܐܨܐ ܀ Oy=1+ Oy, =1+ 2 Oy =1+ 2 ܠܐܕܐܐܨܐ+Oy + + .… and y2 - X - and y, = x + Oy:=1+_x+x + 2 3 and y, = x - +ܐ 4 ܡܐ ܠܨ-xܕx- + y+1-:0 ܕܨܐ y2 X + 13 and y2 = x 6 + ܟܛܚ ܕ - -x- ܕOy -1- o- 3 - .… and y ܐܐܐܐ 4 9 1 24 - 9 1 24 ܐ ܐ ܐ x- + .… 1 16 1x2 + 1x³ + 1 16
Transcribed Image Text:Use the procedure in Example 8 in Section 6.2 to find two power series solutions of the given differential equation about the ordinary point x = 0. y' + e'y' – y = 0 1,3 ܐ ܐܨܐ ܀ Oy=1+ Oy, =1+ 2 Oy =1+ 2 ܠܐܕܐܐܨܐ+Oy + + .… and y2 - X - and y, = x + Oy:=1+_x+x + 2 3 and y, = x - +ܐ 4 ܡܐ ܠܨ-xܕx- + y+1-:0 ܕܨܐ y2 X + 13 and y2 = x 6 + ܟܛܚ ܕ - -x- ܕOy -1- o- 3 - .… and y ܐܐܐܐ 4 9 1 24 - 9 1 24 ܐ ܐ ܐ x- + .… 1 16 1x2 + 1x³ + 1 16
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