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 For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter11: Differential Equations
Section11.1: Solutions Of Elementary And Separable Differential Equations
Problem 6E
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Question 15
Find constants A and B such that the function y Asinx + Bcosx satisfies the differential equation y"+6y'-2y = sinx,
04 = -15
04 =-1135 B=-
1
15
04=1, B=0
2
04 - 01/15 - 8 - 11/13
23
04----3-3--3
B =
15
2
15
Transcribed Image Text:Question 15 Find constants A and B such that the function y Asinx + Bcosx satisfies the differential equation y"+6y'-2y = sinx, 04 = -15 04 =-1135 B=- 1 15 04=1, B=0 2 04 - 01/15 - 8 - 11/13 23 04----3-3--3 B = 15 2 15
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