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In Problems 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity do not differ by an integer. Use the method of Frobenius to obtain two linearly independent series solutions about x = 0. Form the general solution on (0, 0). 15. 2xy"-y+2y=0 Answer+ 16. 2xy +5y+xy=0 JUL 25 с $ 4 E MacBook Pro Q Search Web % 25 ^. 6 & 27 ☆ + 8 * ∞ R T Y U D F C G > H < ) ) 9 0 - n ၂ B N о K יו O + 11 -- P L " < > ? M - H command option

In Problems 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity do not differ by an integer. Use the method of Frobenius to obtain two linearly independent series solutions about x = 0. Form the general solution on (0, 0). 15. 2xy"-y+2y=0 Answer+ 16. 2xy +5y+xy=0 JUL 25 с $ 4 E MacBook Pro Q Search Web % 25 ^. 6 & 27 ☆ + 8 * ∞ R T Y U D F C G > H < ) ) 9 0 - n ၂ B N о K יו O + 11 -- P L " < > ? M - H command option

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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In Problems 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity do not differ by an integer. Use the method of Frobenius to obtain two linearly independent series solutions about x = 0. Form the general solution on (0, 0). 15. 2xy"-y+2y=0 Answer+ 16. 2xy +5y+xy=0 JUL 25 с $ 4 E MacBook Pro Q Search Web % 25 ^. 6 & 27 ☆ + 8 * ∞ R T Y U D F C G > H < ) ) 9 0 - n ၂ B N о K יו O + 11 -- P L " < > ? M - H command option
Transcribed Image Text:In Problems 15, 16, 17, 18, 19, 20, 21, 22, 23, and 24, x = 0 is a regular singular point of the given differential equation. Show that the indicial roots of the singularity do not differ by an integer. Use the method of Frobenius to obtain two linearly independent series solutions about x = 0. Form the general solution on (0, 0). 15. 2xy"-y+2y=0 Answer+ 16. 2xy +5y+xy=0 JUL 25 с $ 4 E MacBook Pro Q Search Web % 25 ^. 6 & 27 ☆ + 8 * ∞ R T Y U D F C G > H < ) ) 9 0 - n ၂ B N о K יו O + 11 -- P L " < > ? M - H command option
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