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23. What are the roots of the auxiliary equation corresponding to the DE y(4)+3y"+6y" +5y+3y = 0 (A) m = -2 (B) m = - √³₁, √3 2 -1 ± √/2i -i, 1± √2i (C) m = (D) m = I2 112 + -i, -1+√√2i √3 i, 1± √√/2i

23. What are the roots of the auxiliary equation corresponding to the DE y(4)+3y"+6y" +5y+3y = 0 (A) m = -2 (B) m = - √³₁, √3 2 -1 ± √/2i -i, 1± √2i (C) m = (D) m = I2 112 + -i, -1+√√2i √3 i, 1± √√/2i

Calculus: Early Transcendentals
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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23. What are the roots of the auxiliary equation corresponding to the DE y¹)+3y"+6y" +5y+3y = 0 (A) m = -2 - (B) m = - ± (A) m = 1, √3 23 --!! 3'2 (B) m = = 1, √3. -i, -1± √√2i 24. What are the roots of the auxiliary equation corresponding to the DE 6y" +11y" - y - 6y=0? 23 3'2 -i, 1+√/2i (C) m = (D) m = (A) m = -1 (multiplicity 3) (B) m = 1 (multiplicity 3) √3. + -i, 1± √√/2i (C) m = -1, (A) y = e(c₁ + c₂x + €3x²) (B) y = e(C₁+C₂x + C3x²) -i, -1± √2i 2/6 2/2 3' 23 (D) m = -1, 3'2 25. Write the general solution for the homogeneous DE 6y" - y" - 11y' + 6y = 0. (A) y = ₁² +₂¹² + c3e² + c₂€¯² + c3e-1² (B) y = ₁² + c₂e-² +₂e³² + c₂e² +₂e³¹ (C) y = c₁e (D) y=c₁e 26. What are the roots of the auxiliary equation corresponding to the DE y" - 3y" + 3y - y = 0? ت انا (C) m = -1, 1 (multiplicity 2) (D) m = 1, 1 (multiplicity 2) 27. Write the general solution for the homogeneous DE y" + 3y" + 3y + y = 0. (C) y = e² (c₁ + (D) y = e(a₁ + ₂x) + c3e-² ₂x) + c3e²
Transcribed Image Text:23. What are the roots of the auxiliary equation corresponding to the DE y¹)+3y"+6y" +5y+3y = 0 (A) m = -2 - (B) m = - ± (A) m = 1, √3 23 --!! 3'2 (B) m = = 1, √3. -i, -1± √√2i 24. What are the roots of the auxiliary equation corresponding to the DE 6y" +11y" - y - 6y=0? 23 3'2 -i, 1+√/2i (C) m = (D) m = (A) m = -1 (multiplicity 3) (B) m = 1 (multiplicity 3) √3. + -i, 1± √√/2i (C) m = -1, (A) y = e(c₁ + c₂x + €3x²) (B) y = e(C₁+C₂x + C3x²) -i, -1± √2i 2/6 2/2 3' 23 (D) m = -1, 3'2 25. Write the general solution for the homogeneous DE 6y" - y" - 11y' + 6y = 0. (A) y = ₁² +₂¹² + c3e² + c₂€¯² + c3e-1² (B) y = ₁² + c₂e-² +₂e³² + c₂e² +₂e³¹ (C) y = c₁e (D) y=c₁e 26. What are the roots of the auxiliary equation corresponding to the DE y" - 3y" + 3y - y = 0? ت انا (C) m = -1, 1 (multiplicity 2) (D) m = 1, 1 (multiplicity 2) 27. Write the general solution for the homogeneous DE y" + 3y" + 3y + y = 0. (C) y = e² (c₁ + (D) y = e(a₁ + ₂x) + c3e-² ₂x) + c3e²
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