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Question 15 Find constants 4 and 8 such that the function y Asinx + Bcost satisfies the differential equation y"+6y'-2y = sinx 04 = -1/3-8=-15 O R=- 1 04----- B=- 04=1, B=0 2 04 = 1/35. B = 11/13 15 2 15

Question 15 Find constants 4 and 8 such that the function y Asinx + Bcost satisfies the differential equation y"+6y'-2y = sinx 04 = -1/3-8=-15 O R=- 1 04----- B=- 04=1, B=0 2 04 = 1/35. B = 11/13 15 2 15

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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**Question 15** Find constants \( A \) and \( B \) such that the function \( y = A \sin x + B \cos x \) satisfies the differential equation \( y'' + 6y' - 2y = \sin x \). - \( A = -\frac{1}{15}, B = -\frac{1}{15} \) - \( A = -\frac{1}{25}, B = -\frac{2}{25} \) - \( A = -\frac{1}{15}, B = -\frac{2}{15} \) - \( A = 1, B = 0 \) - \( A = \frac{1}{15}, B = \frac{2}{15} \)
Transcribed Image Text:**Question 15** Find constants \( A \) and \( B \) such that the function \( y = A \sin x + B \cos x \) satisfies the differential equation \( y'' + 6y' - 2y = \sin x \). - \( A = -\frac{1}{15}, B = -\frac{1}{15} \) - \( A = -\frac{1}{25}, B = -\frac{2}{25} \) - \( A = -\frac{1}{15}, B = -\frac{2}{15} \) - \( A = 1, B = 0 \) - \( A = \frac{1}{15}, B = \frac{2}{15} \)
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