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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 Oy₁ = 1 + Oy₁ = 1- Oy₁ = 1+ N| حمد + - + + + + 12 +... 0x₁=1++++ Oy₁ = 1 - ² - ³² + 1/²2/2 2 6 and and ¥2 Y/₂ =X+ =X+ and y₂ = x + ... and y₂ = x +. and y₂ = x + 2 2 + + + T 6 6 + + T 6 6

Find two power series solutions of the given differential equation about the ordinary point x = 0. y" - (x + 1)y' −y=0 Oy₁ = 1 + Oy₁ = 1- Oy₁ = 1+ N| حمد + - + + + + 12 +... 0x₁=1++++ Oy₁ = 1 - ² - ³² + 1/²2/2 2 6 and and ¥2 Y/₂ =X+ =X+ and y₂ = x + ... and y₂ = x +. and y₂ = x + 2 2 + + + T 6 6 + + T 6 6

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 Oy₁ = 1 + Oy₁ = 1 Oy₁ = 1 + ΟΥΤ = 1 + Oy₁ = 1 2 +² +² +4 +² 2 + I + + 6 6 + 6 + + + + 12 6 12 +... + + + and y₂ = x + and Y2 = x + and y₂ = x + and y₂ = x + and y₂ = x + .2 N N N N +² +² 2 + + + I X 2 3 + 6
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 Oy₁ = 1 + Oy₁ = 1 Oy₁ = 1 + ΟΥΤ = 1 + Oy₁ = 1 2 +² +² +4 +² 2 + I + + 6 6 + 6 + + + + 12 6 12 +... + + + and y₂ = x + and Y2 = x + and y₂ = x + and y₂ = x + and y₂ = x + .2 N N N N +² +² 2 + + + I X 2 3 + 6
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