(A) m = -1 (multiplicity 3) (B) m = 1 (multiplicity 3) (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. (A) y = e(c₁+c₂x + c3x²) (B) y = e(c₁ + ₂x + ₂x²) (C) y = e² (c₁ + c₂x) + c3e-ª (D) y = e(C₁+C₂x) + Cze

Calculus: Early Transcendentals
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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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Pls. answer 26 and 27.

26. What are the roots of the auxiliary equation corresponding to the DE y" - 3y" + 3y - y = 0?
(A) m = -1 (multiplicity 3)
(B) m = 1 (multiplicity 3)
(C) m =
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.
(A) y = e² (c₁ + ₂x + €3x²)
(B) y = e(C₁+C₂x + C3x²)
(C) y = e² (c₁+ c₂x) + c3e-²
(D) y = e(c₁ + ₂x) + Cze
Transcribed Image Text:26. What are the roots of the auxiliary equation corresponding to the DE y" - 3y" + 3y - y = 0? (A) m = -1 (multiplicity 3) (B) m = 1 (multiplicity 3) (C) m = 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. (A) y = e² (c₁ + ₂x + €3x²) (B) y = e(C₁+C₂x + C3x²) (C) y = e² (c₁+ c₂x) + c3e-² (D) y = e(c₁ + ₂x) + Cze
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