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4. The following Differential, du = yx dx - yx dy, is a. Second order b. Inexact C. Exact d. None

4. The following Differential, du = yx dx - yx dy, is a. Second order b. Inexact C. Exact d. None

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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Circle the best answer in each of the following questions, and fill answers into the table below: dx d²x +azdy² 1. The following DE, aoy+ady a. a. Homogenous 2. The gradient of the function, f(x, y, z) = x³y + 3xz, is Af = (3x²y + 3z)i df = (3x²y + 3z)i +x³j+ 3x k +x³j+ 3x k a. a. b. Non-Linear y = 5x + c 4. The following Differential, 3. The general solution of the following DE, 5= 6, is dx Second order a. b. 5. The following DE, m- dt2 Forced Harmonic Oscillator Equation b. y = 5x a3 3= 0, is dys b. Inexact =-kz-, is b. c. Third order C. du = yx dx - yx dy, is Damped Harmonic Oscillator Equation C. C. C. Vf = (3x²y +3z)i +x³j+ 3x k 6 y = -x + g(y) Exact Equation of Motion of the Harmonic Oscillator d. a and c d. Vf = (3x²y + 3z) +x³ + 3x 6 d. y = x + f(x) d. None d. None
Transcribed Image Text:Circle the best answer in each of the following questions, and fill answers into the table below: dx d²x +azdy² 1. The following DE, aoy+ady a. a. Homogenous 2. The gradient of the function, f(x, y, z) = x³y + 3xz, is Af = (3x²y + 3z)i df = (3x²y + 3z)i +x³j+ 3x k +x³j+ 3x k a. a. b. Non-Linear y = 5x + c 4. The following Differential, 3. The general solution of the following DE, 5= 6, is dx Second order a. b. 5. The following DE, m- dt2 Forced Harmonic Oscillator Equation b. y = 5x a3 3= 0, is dys b. Inexact =-kz-, is b. c. Third order C. du = yx dx - yx dy, is Damped Harmonic Oscillator Equation C. C. C. Vf = (3x²y +3z)i +x³j+ 3x k 6 y = -x + g(y) Exact Equation of Motion of the Harmonic Oscillator d. a and c d. Vf = (3x²y + 3z) +x³ + 3x 6 d. y = x + f(x) d. None d. None
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