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The differential equation y" - 2xy' + 12y = 0 has a power series solution y(x) = 2 Cnx". The recursive formula for the coefficients cn for n 2 1 is: n=0 2(n- 7) (A) Cn = 20-6 Cn-2 (B) cn = c, 2(2 – 8) (n- 1)(n + 6) 2(n – 8) (n- 1)n n-2 Сп-2 (В) Сп Сп-2 (C) Cn = Cn-2 (D) cn n+ 6 n(n+ 6) E) none of these

The differential equation y" - 2xy' + 12y = 0 has a power series solution y(x) = 2 Cnx". The recursive formula for the coefficients cn for n 2 1 is: n=0 2(n- 7) (A) Cn = 20-6 Cn-2 (B) cn = c, 2(2 – 8) (n- 1)(n + 6) 2(n – 8) (n- 1)n n-2 Сп-2 (В) Сп Сп-2 (C) Cn = Cn-2 (D) cn n+ 6 n(n+ 6) E) none of these

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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The differential equation y" – 2xy' + 12y = 0 has a power series solution y(x) = 2 Cnx". The recursive formula for the coefficients cn for n 2 1 is: n=0 2(2 – 6) n+ 6 (В) Сп 2(n- 7) n(n + 6) 2(n- 8) (n- 1)(n + 6) 2(n - 8) Cn-2 (n- 1)n (A) Cn Сп-2 Cn-2 (C) cn Сп-2 (D) ст (E) none of these
Transcribed Image Text:The differential equation y" – 2xy' + 12y = 0 has a power series solution y(x) = 2 Cnx". The recursive formula for the coefficients cn for n 2 1 is: n=0 2(2 – 6) n+ 6 (В) Сп 2(n- 7) n(n + 6) 2(n- 8) (n- 1)(n + 6) 2(n - 8) Cn-2 (n- 1)n (A) Cn Сп-2 Cn-2 (C) cn Сп-2 (D) ст (E) none of these
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