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Find two power series solutions of the given differential equation about the ordinary point x = 0. y" + xy = 0 .6 Oy₁ = 1 Oy₁ = 1 I 6 2 O y₁= = 1 + + Oy₁ = 1 + x² + + 6 X 180 x³ Oy₂-1²-² = 1 + + 24 + + 24 X 180 + and and and Y₂ Y₂ Y₂ and and Y2 = X = X- = x + x² = x + Y/₂ = x + 12 + X + + 4 12 + X 4 x5 120 12 504 120 + 504

Find two power series solutions of the given differential equation about the ordinary point x = 0. y" + xy = 0 .6 Oy₁ = 1 Oy₁ = 1 I 6 2 O y₁= = 1 + + Oy₁ = 1 + x² + + 6 X 180 x³ Oy₂-1²-² = 1 + + 24 + + 24 X 180 + and and and Y₂ Y₂ Y₂ and and Y2 = X = X- = x + x² = x + Y/₂ = x + 12 + X + + 4 12 + X 4 x5 120 12 504 120 + 504

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" + xy = 0 .6 Oy₁ = 1 Oy₁ = 1 I 6 2 O y₁= = 1 + + Oy₁ = 1 + x² + + 6 X 180 x³ Oy₂-1²-² = 1 + + 24 + + 24 X 180 + and and and Y₂ Y₂ Y₂ and and Y2 = X = X- = x + x² = x + Y/₂ = x + 12 + X + + 4 12 + X 4 x5 120 12 504 120 + 504
Transcribed Image Text:Find two power series solutions of the given differential equation about the ordinary point x = 0. y" + xy = 0 .6 Oy₁ = 1 Oy₁ = 1 I 6 2 O y₁= = 1 + + Oy₁ = 1 + x² + + 6 X 180 x³ Oy₂-1²-² = 1 + + 24 + + 24 X 180 + and and and Y₂ Y₂ Y₂ and and Y2 = X = X- = x + x² = x + Y/₂ = x + 12 + X + + 4 12 + X 4 x5 120 12 504 120 + 504
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