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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 = X Y2 OY1 = 1 and ○ Y₁ = 1 - ○ Y₁ = 1 + Y₂ Y₁ = 1 and Y₂ = x-. Nhẫu Nh + = x + + 3x4 5x6 8 16 3x 8 nhĩ Nhã 4 + 5x6 16 + 3 +... +... 4 *ª 4 + and y₂ = x - and y₂ = x + 3 2x3 3 + 8x5 15 8x5 15 + 16x7 35 16x7 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 = X Y2 OY1 = 1 and ○ Y₁ = 1 - ○ Y₁ = 1 + Y₂ Y₁ = 1 and Y₂ = x-. Nhẫu Nh + = x + + 3x4 5x6 8 16 3x 8 nhĩ Nhã 4 + 5x6 16 + 3 +... +... 4 *ª 4 + and y₂ = x - and y₂ = x + 3 2x3 3 + 8x5 15 8x5 15 + 16x7 35 16x7 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 = X Y2 OY1 = 1 and ○ Y₁ = 1 - ○ Y₁ = 1 + Y₂ Y₁ = 1 and Y₂ = x-. Nhẫu Nh + = x + + 3x4 5x6 8 16 3x 8 nhĩ Nhã 4 + 5x6 16 + 3 +... +... 4 *ª 4 + and y₂ = x - and y₂ = x + 3 2x3 3 + 8x5 15 8x5 15 + 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 = X Y2 OY1 = 1 and ○ Y₁ = 1 - ○ Y₁ = 1 + Y₂ Y₁ = 1 and Y₂ = x-. Nhẫu Nh + = x + + 3x4 5x6 8 16 3x 8 nhĩ Nhã 4 + 5x6 16 + 3 +... +... 4 *ª 4 + and y₂ = x - and y₂ = x + 3 2x3 3 + 8x5 15 8x5 15 + 16x7 35 16x7 35 + + ...
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