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Find two power series solutions of the given differential equation about the ordinary point x = 0. y" - (x + 1)y' - y = 0 +4 +5 +8 + Oy₁ = 1 + 0x₁=1--++ Oy₁ = 1 + x ²2. + Oy₁ = 1 + 2 + =1-1/²2 - + Oy₁ = 1 + 12 + .. +... +... and Y2 and and and Y₂ = x + X2² - Y₂ = x + Y2 = x + =X+ x³ and y₂ = x + NXN + ~~~~ T + + |~ 1² | 10 I 3²6 3² / N / N I +

Find two power series solutions of the given differential equation about the ordinary point x = 0. y" - (x + 1)y' - y = 0 +4 +5 +8 + Oy₁ = 1 + 0x₁=1--++ Oy₁ = 1 + x ²2. + Oy₁ = 1 + 2 + =1-1/²2 - + Oy₁ = 1 + 12 + .. +... +... and Y2 and and and Y₂ = x + X2² - Y₂ = x + Y2 = x + =X+ x³ and y₂ = x + NXN + ~~~~ T + + |~ 1² | 10 I 3²6 3² / N / N I +

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. y" - (x + 1)y' - y = 0 +4 +5 +8 + Oy₁ = 1 + 0x₁=1--++ Oy₁ = 1 + x ²2. + Oy₁ = 1 + 2 + =1-1/²2 - + Oy₁ = 1 + 12 + .. +... +... and Y2 and and and Y₂ = x + X2² - Y₂ = x + Y2 = x + =X+ x³ and y₂ = x + NXN + ~~~~ T + + |~ 1² | 10 I 3²6 3² / N / N I +
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = 0. y" - (x + 1)y' - y = 0 +4 +5 +8 + Oy₁ = 1 + 0x₁=1--++ Oy₁ = 1 + x ²2. + Oy₁ = 1 + 2 + =1-1/²2 - + Oy₁ = 1 + 12 + .. +... +... and Y2 and and and Y₂ = x + X2² - Y₂ = x + Y2 = x + =X+ x³ and y₂ = x + NXN + ~~~~ T + + |~ 1² | 10 I 3²6 3² / N / N I +
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