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Questions 1-10 are concerned with the equation: +6+9y=9x 1. What is the order of the equation? a. 0 b. 1 c. 2 d. 3 2. What is the degree of the equation? a. 0 b. 1 c. 2 d. 3 3. The dependent variable is t. a. True b. False dt²

Questions 1-10 are concerned with the equation: +6+9y=9x 1. What is the order of the equation? a. 0 b. 1 c. 2 d. 3 2. What is the degree of the equation? a. 0 b. 1 c. 2 d. 3 3. The dependent variable is t. a. True b. False dt²

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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Please answer the 1-10 multiple choice questions (See attached document)

Questions 1-10 are concerned with the equation: +6+9y=9x 1. What is the order of the equation? a. 0 b. 1 C. 2 d. 3 2. What is the degree of the equation? a. 0 b. 1 C. 2 d. 3 3. The dependent variable is t. a. True b. False 4. The equation is homogeneous. a. True b. False 5. The equation has variable coefficients. a. True b. False 6. The roots of the characteristic equation are: a. Real and unequal b. Real and equal c. Complex d. Complex conjugates 7. The assumed form of the particular solution should be: a. A b. x c. Ax d. Ax + B 8. The general (homogeneous) solution to the equation is: a. C₂cosbt + C₂sinbt b. Cest + C₂test c. C₁est+C₂eszt d. eat (Cebt +C₂e-bt) d²y dt² 9. If this equation represents a real physical system, the, the natural frequency of the system would be: a. 3 rad/sec b. √6 rad/sec c. 6 rad/sec d. 9 rad/sec 10. This system would be classified as: a. Undamped b. Underdamped c. Critically damped d. Overdamped
Transcribed Image Text:Questions 1-10 are concerned with the equation: +6+9y=9x 1. What is the order of the equation? a. 0 b. 1 C. 2 d. 3 2. What is the degree of the equation? a. 0 b. 1 C. 2 d. 3 3. The dependent variable is t. a. True b. False 4. The equation is homogeneous. a. True b. False 5. The equation has variable coefficients. a. True b. False 6. The roots of the characteristic equation are: a. Real and unequal b. Real and equal c. Complex d. Complex conjugates 7. The assumed form of the particular solution should be: a. A b. x c. Ax d. Ax + B 8. The general (homogeneous) solution to the equation is: a. C₂cosbt + C₂sinbt b. Cest + C₂test c. C₁est+C₂eszt d. eat (Cebt +C₂e-bt) d²y dt² 9. If this equation represents a real physical system, the, the natural frequency of the system would be: a. 3 rad/sec b. √6 rad/sec c. 6 rad/sec d. 9 rad/sec 10. This system would be classified as: a. Undamped b. Underdamped c. Critically damped d. Overdamped
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