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Unformatted text preview: verify that c is arbitrary in this case. y' xy = 0 Section 8.3 6. Page 543 numbers 4 and 7 7. Page 543 number 13 8. Page 543 number 24 9. Page 543, number 30 10. The Laguerre differential equation is: x 2 y" + xy' + x 2 y = 0 a) Show that x = 0 is a regular singular point. b) Determine the indical equation, its roots and the recurrence relation. c) Find one solution (x > 0). Show that if = m, a positive integer, this solution reduces to a polynomial....
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