Find constants A and B such that the function y = Asinx +Bcosx satisfies the differential equation y"+12y'- 8y : = sinx. 3 B = - 41 4 а. A = -- 41 3 A = B = 75 b. 4 75 C. A = - 3 B = - 4 75 75 O d. A = 1, B = 0 1 B = - 75 1 е. A = -. 75

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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Find constants A and B such that the function y = Asinx + Bcosx satisfies the differential equation
y"+12y'- 8y = sinx.
%3D
3
B =
41
а.
= -
41
3
4
A = -
B
75
3
4
С.
A = -
B
%3D
75
75
O d. A = 1, B = 0
1
‚B =
75
1
е.
A = -
75
Transcribed Image Text:Find constants A and B such that the function y = Asinx + Bcosx satisfies the differential equation y"+12y'- 8y = sinx. %3D 3 B = 41 а. = - 41 3 4 A = - B 75 3 4 С. A = - B %3D 75 75 O d. A = 1, B = 0 1 ‚B = 75 1 е. A = - 75
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