24. What are the roots of the auxiliary equation corresponding to the DE 6y" +11y" - y - 6y=0? 23 3'2 (A) m = 1, (B) m = = 1, 23 3'2 (C) m = -1, (D) m = -1, 2 3 3' 23 3'2 25. Write the general solution for the homogeneous DE 6y"" - y" - 11y' + 6y = 0. (A) y = c₁e² + c₂e + c3e³² (C) y = c₁e* + c₂€¯² + c₂e-³² (B) y=c₁e + c₂e-² +₂e³² (D) y=c₁e + c₂e²² +₂e³¹

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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answer 24 and 25.

24. What are the roots of the auxiliary equation corresponding to the DE 6y" +11y" - y - 6y=0?
23
3'2
(A) m = 1,5,
(B) m = 1,
23
3'2
(C) m = -1,
e-³² +₂e³¹\
(D) m = -1,
210312
23
3'2
3
25. Write the general solution for the homogeneous DE 6y" - y" - 11y' + 6y = 0.
(A) y = ₁² +₂¹¹ + c₂e³¹
(C) y = c₁e* + c₂€¯² + ₂€¯³²
(B) y=c₁e + c₂e-!
(D) y=c₁e+c₂el" + c₂e³*
Transcribed Image Text:24. What are the roots of the auxiliary equation corresponding to the DE 6y" +11y" - y - 6y=0? 23 3'2 (A) m = 1,5, (B) m = 1, 23 3'2 (C) m = -1, e-³² +₂e³¹\ (D) m = -1, 210312 23 3'2 3 25. Write the general solution for the homogeneous DE 6y" - y" - 11y' + 6y = 0. (A) y = ₁² +₂¹¹ + c₂e³¹ (C) y = c₁e* + c₂€¯² + ₂€¯³² (B) y=c₁e + c₂e-! (D) y=c₁e+c₂el" + c₂e³*
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