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Find two power series solutions of the given differential equation about the ordinary point x = 0. (x - 1)y"+y' = 0 OY₁ = 1 and Y₂ = x + +2²+ + ²³². + +*+ 0₁-1-2+3x4-56+... 8 = 5x6 3x ₁=1+²+¹+²+.. and 2 8 Oy₁ = 1 and Y₂ = x Oy₁ = 1 and Y₂ = x- 16 and y₂ = x - - 2x³ + 8x5 15 +² +3 ₁=x+4 2 3 and y₂ = x + ܀ 3 16x7 35 + 27²8²16x²+.. 35

Find two power series solutions of the given differential equation about the ordinary point x = 0. (x - 1)y"+y' = 0 OY₁ = 1 and Y₂ = x + +2²+ + ²³². + +*+ 0₁-1-2+3x4-56+... 8 = 5x6 3x ₁=1+²+¹+²+.. and 2 8 Oy₁ = 1 and Y₂ = x Oy₁ = 1 and Y₂ = x- 16 and y₂ = x - - 2x³ + 8x5 15 +² +3 ₁=x+4 2 3 and y₂ = x + ܀ 3 16x7 35 + 27²8²16x²+.. 35

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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Find two power series solutions of the given differential equation about the ordinary point x = 0. (x - 1)y"+y' = 0 OY₁ = 1 and Y₂ = x + -22²2- Oy₁ = 1 - + Oy₁ = 1 + 3x4 8 + ++2²2324 2 8 Oy₁ = 1 and Y₂ = x 3x +2²+ + ²³². + +*+ I = + 5x6 16 5x6 16 +... +... - 2x³ + 8x5 3 15 8x5 15 and y₂ = x - +3 0x₁-1 and Y₂-x-+-+ = 2 3 +2+³55 + 3 and y₂ = x + + 16x7 35 16x7 35 + +...
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = 0. (x - 1)y"+y' = 0 OY₁ = 1 and Y₂ = x + -22²2- Oy₁ = 1 - + Oy₁ = 1 + 3x4 8 + ++2²2324 2 8 Oy₁ = 1 and Y₂ = x 3x +2²+ + ²³². + +*+ I = + 5x6 16 5x6 16 +... +... - 2x³ + 8x5 3 15 8x5 15 and y₂ = x - +3 0x₁-1 and Y₂-x-+-+ = 2 3 +2+³55 + 3 and y₂ = x + + 16x7 35 16x7 35 + +...
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