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The characteristic equation for a 5th degree, homogeneous, constant coefficient DE is p(x) ndependent functions will be used to form the general solution? O A. 1,e^{-x},xe^{-x}, cos(x),sin(x) OB. x,x^2,x^3,cos(x),sin(x) OC. 1,e^x,xe^x, cos(x),sin(x) OD. 1,x,x^2,cos(x),sin(x)

The characteristic equation for a 5th degree, homogeneous, constant coefficient DE is p(x) ndependent functions will be used to form the general solution? O A. 1,e^{-x},xe^{-x}, cos(x),sin(x) OB. x,x^2,x^3,cos(x),sin(x) OC. 1,e^x,xe^x, cos(x),sin(x) OD. 1,x,x^2,cos(x),sin(x)

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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The characteristic equation for a 5th degree, homogeneous, constant coefficient DE is p(x)=x^3(x^2+1). Which linearly independent functions will be used to form the general solution? © A. 1,e^{-x},xe^{-x}, cos(x),sin(x) O B. x,x^2,x^3,cos(x), sin(x) O C. 1,e^x,xe^x, cos(x),sin(x) O D. 1,x,x^2,cos(x),sin(x)
Transcribed Image Text:The characteristic equation for a 5th degree, homogeneous, constant coefficient DE is p(x)=x^3(x^2+1). Which linearly independent functions will be used to form the general solution? © A. 1,e^{-x},xe^{-x}, cos(x),sin(x) O B. x,x^2,x^3,cos(x), sin(x) O C. 1,e^x,xe^x, cos(x),sin(x) O D. 1,x,x^2,cos(x),sin(x)
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