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The function -4x e 'cos(3x) is a solution to a second order linear homogenous differential equation with constant coefficients. Give the differential equation.

The function -4x e 'cos(3x) is a solution to a second order linear homogenous differential equation with constant coefficients. Give the differential equation.

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter10: Inequalities
Section: Chapter Questions
Problem 2CT
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The function -4x e 'cos( 3x) is a solution to a second order linear homogenous differential equation with constant coefficients. Give the differential equation. a) O p"- 8y'+9 y=0 b) O y"+y'- 12y=0 c) O y"+8y'+9y =0 d) O y"+ 8y'+ 25 y =0 e) O y"- 6y'+ 17y =0 f) O None of the above.
Transcribed Image Text:The function -4x e 'cos( 3x) is a solution to a second order linear homogenous differential equation with constant coefficients. Give the differential equation. a) O p"- 8y'+9 y=0 b) O y"+y'- 12y=0 c) O y"+8y'+9y =0 d) O y"+ 8y'+ 25 y =0 e) O y"- 6y'+ 17y =0 f) O None of the above.
Give the general solution to p"+4y'+4y=0 -2x a) O y-c, * +C, e2* b) O y-C, e*+ C,xe** 2x c) O y=C, e+ -2x e) f) O None of the above.
Transcribed Image Text:Give the general solution to p"+4y'+4y=0 -2x a) O y-c, * +C, e2* b) O y-C, e*+ C,xe** 2x c) O y=C, e+ -2x e) f) O None of the above.
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