Question 21-25. Determine the form of the particular solution of y"-9y'+14y = 3x-5 sin 2x+ 7xe 21. The particular solution corresponding to 3x a. Ax + Bx +C 22. The particular solution corresponding to -5 sin 2x a. Ccos2x+Esin2x b. Ax+B Ax d. Ax + Bx с. b. Ccos2x+Dsin 2x c. Bcos2x+Csin 2x d. Dcos2x+Esin 2x 23. The particular solution corresponding to 7xe a. (Dx)e* b. (Ex + F)e6* c. (Fx+G)e d. (G)xe* 24. What is the complementary solution for this differential equation? a. y. =Ge +C,e* b. y. =Ce * +C,e * c. y =Ge * +Ce* d. y =Ge +Ce T 25. The assumption for the particular solution is then a. y, = Ax + Bx+C+Dcos2x+ Esin 2x+(Fx+G)e b. y, = Ax+ B+C cos2x+ Dsin 2x + (Ex+F)e c. y, = Ax + Bcos2x+Csin 2x+(Dx)e d. y, = Ax + Bx +C'cos2x+Esin 2xr+(Gx)e %3D
Question 21-25. Determine the form of the particular solution of y"-9y'+14y = 3x-5 sin 2x+ 7xe 21. The particular solution corresponding to 3x a. Ax + Bx +C 22. The particular solution corresponding to -5 sin 2x a. Ccos2x+Esin2x b. Ax+B Ax d. Ax + Bx с. b. Ccos2x+Dsin 2x c. Bcos2x+Csin 2x d. Dcos2x+Esin 2x 23. The particular solution corresponding to 7xe a. (Dx)e* b. (Ex + F)e6* c. (Fx+G)e d. (G)xe* 24. What is the complementary solution for this differential equation? a. y. =Ge +C,e* b. y. =Ce * +C,e * c. y =Ge * +Ce* d. y =Ge +Ce T 25. The assumption for the particular solution is then a. y, = Ax + Bx+C+Dcos2x+ Esin 2x+(Fx+G)e b. y, = Ax+ B+C cos2x+ Dsin 2x + (Ex+F)e c. y, = Ax + Bcos2x+Csin 2x+(Dx)e d. y, = Ax + Bx +C'cos2x+Esin 2xr+(Gx)e %3D
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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Transcribed Image Text:Question 21-25. Determine the form of the particular solution of y"-9y'+14y=3x -5 sin 2.x + 7xe
21. The particular solution corresponding to 3x
a. Ax + Bx +C b. Ax+B
22. The particular solution corresponding to -5 sin 2x
a. Ccos2x+Esin2x
c. Ax?
d. Ax? + Bx
b. Ccos2x+Dsin 2x
c. Bcos2x+Csin 2x
d. Dcos2x+Esin 2x
23. The particular solution corresponding to 7xe
a. (Dx)e6*
24. What is the complementary solution for this differential equation?
b. (Ex + F)e6*
c. (Fx+G)e*
d. (G)xe*
7x
2x
a. y. =Ce* +C,e*
b. y. =Ce * +C,e*
c. y. =Ge * +C,e*
d. y. =Ge +C,e*
25. The assumption for the particular solution is then
a. y, = Ax? + Bx +C+Dcos2x+ E sin 2x+(Fx+G)e
c. y, = Ax + B cos2x+Csin 2r+(Dx)e*
b. y, = Ax + B+C cos2x+Dsin 2x + (Ex+F)e*
d. y, = Ax + Bx +Ccos2x+ Esin 2x+ (Gx)e*
%3D
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