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Find two power series solutions of the given differential equation about the ordinary point x = 0. (x² + 1)y" - 6y=0 Oy₁ = 1 + 3x² + x² − ³x6 + 1,6 Oy₁ = 1 + 3x² + 5x4 + 7x5 + Oy₁ = 1 + 3x² + x² + and y₂ = x + x³ ... and y₂ = x + 2x³ + 3x5 + 4x² + and y₂ = x - x³ 8 Oy₁ = 1 + x² + x²-16x Oy₁ = 1-3x² + 5x4 − 7x6 6 ... and y₂ = x + x+² and y₂ = x - 2x³ + 3x5 - 4x² + ...

Find two power series solutions of the given differential equation about the ordinary point x = 0. (x² + 1)y" - 6y=0 Oy₁ = 1 + 3x² + x² − ³x6 + 1,6 Oy₁ = 1 + 3x² + 5x4 + 7x5 + Oy₁ = 1 + 3x² + x² + and y₂ = x + x³ ... and y₂ = x + 2x³ + 3x5 + 4x² + and y₂ = x - x³ 8 Oy₁ = 1 + x² + x²-16x Oy₁ = 1-3x² + 5x4 − 7x6 6 ... and y₂ = x + x+² and y₂ = x - 2x³ + 3x5 - 4x² + ...

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. (x2+1)y" 6y = 0 Oy₁ = 1 + 3x² + x²-to 1,6 Oy₁ = 1 + 3x² + 5x4 + 7x6 + Oy₁ = 1 + 3x² + x4 + +6 5 + + and y₂ = x + x³ and Y2 = x + 2x³ + 3x5 + 4x7. and y₂ = x - x³ 34 ₁=1+²+x+6+ ... and y₂ = x+3x² Oy₁ = 1 - 3x² + 5x4 – 7x6 + and y₂ = x - 2x³ + 3x5 - 4x² + .
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = 0. (x2+1)y" 6y = 0 Oy₁ = 1 + 3x² + x²-to 1,6 Oy₁ = 1 + 3x² + 5x4 + 7x6 + Oy₁ = 1 + 3x² + x4 + +6 5 + + and y₂ = x + x³ and Y2 = x + 2x³ + 3x5 + 4x7. and y₂ = x - x³ 34 ₁=1+²+x+6+ ... and y₂ = x+3x² Oy₁ = 1 - 3x² + 5x4 – 7x6 + and y₂ = x - 2x³ + 3x5 - 4x² + .
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