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If y₁ solves y" + p(x)y' + q(x)y = 0 and y2 solves y" + p(x)y' + q(r)y = g(x) where g(x) is not identically zero, then which of the following solves y" + p(x)y' + q(x)y= 2g(x)? Answers: (A) 4y₁ + 2y2 (B) 2y1 + y2 = 0 (C) 3/2 (D) 31 (E) None of the above. The motion of the mass-spring system described by y" + by' + 16y = 0, with b>0, is under- damped if and only if Answers: (A) b < 8 (B) b ≤ 8 (C) b < 4 (D) b ≤ 4 (E) None of the above.

If y₁ solves y" + p(x)y' + q(x)y = 0 and y2 solves y" + p(x)y' + q(r)y = g(x) where g(x) is not identically zero, then which of the following solves y" + p(x)y' + q(x)y= 2g(x)? Answers: (A) 4y₁ + 2y2 (B) 2y1 + y2 = 0 (C) 3/2 (D) 31 (E) None of the above. The motion of the mass-spring system described by y" + by' + 16y = 0, with b>0, is under- damped if and only if Answers: (A) b < 8 (B) b ≤ 8 (C) b < 4 (D) b ≤ 4 (E) None of the above.

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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If y₁ solves y" + p(x)y' + q(x)y = 0 and y2 solves y" + p(x)y' + q(r)y = g(x) where g(x) is not identically zero, then which of the following solves y" + p(x)y' + q(x)y= 2g(x)? Answers: (A) 4y₁ + 2y2 (B) 2y1 + y2 = 0 (C) 3/2 (D) 31 (E) None of the above. The motion of the mass-spring system described by y" + by' + 16y = 0, with b>0, is under- damped if and only if Answers: (A) b < 8 (B) b ≤ 8 (C) b < 4 (D) b ≤ 4 (E) None of the above.
Transcribed Image Text:If y₁ solves y" + p(x)y' + q(x)y = 0 and y2 solves y" + p(x)y' + q(r)y = g(x) where g(x) is not identically zero, then which of the following solves y" + p(x)y' + q(x)y= 2g(x)? Answers: (A) 4y₁ + 2y2 (B) 2y1 + y2 = 0 (C) 3/2 (D) 31 (E) None of the above. The motion of the mass-spring system described by y" + by' + 16y = 0, with b>0, is under- damped if and only if Answers: (A) b < 8 (B) b ≤ 8 (C) b < 4 (D) b ≤ 4 (E) None of the above.
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