Circle the best answer in each of the following questions, and fill answers into the table below: d²x d³x 1. The following DE, aoy+ady a3 23=0, is a. a. Homogenous b. Non-Linear 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. Second order 5. The following DE, m a. b. 3. The general solution of the following DE, 5 d = 6, is dx dx 6 b. y = 5x a. y=x+C 4. The following Differential, du = yx dx - yx dy, is Forced Harmonic Oscillator Equation + a₂ b. Inexact b. c. Third order = -kz-, is C. Damped Harmonic Oscillator Equation C. Vf = (3x²y + 3z)i +x³j+ 3x k C. 6 y = 5x + g(y) c. Exact Equation of Motion of the Harmonic Oscillator d. a and c d. Vf = (3x²y + 3z) +x³ + 3x d. y = -x + f(x) d. None d. None
Circle the best answer in each of the following questions, and fill answers into the table below: d²x d³x 1. The following DE, aoy+ady a3 23=0, is a. a. Homogenous b. Non-Linear 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. Second order 5. The following DE, m a. b. 3. The general solution of the following DE, 5 d = 6, is dx dx 6 b. y = 5x a. y=x+C 4. The following Differential, du = yx dx - yx dy, is Forced Harmonic Oscillator Equation + a₂ b. Inexact b. c. Third order = -kz-, is C. Damped Harmonic Oscillator Equation C. Vf = (3x²y + 3z)i +x³j+ 3x k C. 6 y = 5x + g(y) c. Exact Equation of Motion of the Harmonic Oscillator d. a and c d. Vf = (3x²y + 3z) +x³ + 3x d. y = -x + f(x) d. None d. None
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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Question
Q 3 please
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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