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Consider the differential equation x²y" + xy' + (x² - ¹)y=0 which has a regular singular point at x = 0. Determine the indicial equation using the variable r. 1 0 9 Find the recurrence relation. 7.2 an Find the roots of the indicial equation. 1 3 **** Y 123 f(x) ABC #&- D i ( n D 00 12 = ) o 1 3 TL ts, with work shown please. Thank you! e an-2 for n = 7 4 1 0 8 = 2, 3, . 5 2 9 6 3

Consider the differential equation x²y" + xy' + (x² - ¹)y=0 which has a regular singular point at x = 0. Determine the indicial equation using the variable r. 1 0 9 Find the recurrence relation. 7.2 an Find the roots of the indicial equation. 1 3 **** Y 123 f(x) ABC #&- D i ( n D 00 12 = ) o 1 3 TL ts, with work shown please. Thank you! e an-2 for n = 7 4 1 0 8 = 2, 3, . 5 2 9 6 3

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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Consider the differential equation x²y" + xy' + (x² − ¹) y = 0 which has a regular singular point at x = 0. Determine the indicial equation using the variable r. 1 = 0 9 Find the recurrence relation. 7.² an Find the roots of the indicial equation. 13 1 3 T1 Y 123 f(x) ABC #&- 0² i ( n 8 12 ) 1 3 π all parts, with work shown please. Thank you! e an-2 for n = 7 4 1 0 8 5 = 2, 3, ... 2 9 6 3 X + = > + I X 1 X
Transcribed Image Text:Consider the differential equation x²y" + xy' + (x² − ¹) y = 0 which has a regular singular point at x = 0. Determine the indicial equation using the variable r. 1 = 0 9 Find the recurrence relation. 7.² an Find the roots of the indicial equation. 13 1 3 T1 Y 123 f(x) ABC #&- 0² i ( n 8 12 ) 1 3 π all parts, with work shown please. Thank you! e an-2 for n = 7 4 1 0 8 5 = 2, 3, ... 2 9 6 3 X + = > + I X 1 X
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