d'y Determine the order and degree of the differential equation 3r- a) Fourth order, first degree b) First order, third degree ² (1²) ²-²²-0 +5x² c) First order, fifth degree d) Second order, first degree

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
Solve the questions please for our exam
1) Determine the order and degree of the differential equation 3r
dz
a) Fourth order, first degree.
b) First order, third degree
2) A solution of a differential equation free from arbitrary constants but cannot be obtained from the general
solution whatever values are assigned to the arbitrary constants is called a
a) complementary solution
b) particular solution
3) Classify the Differential equation cos z-
dy
dr
a) Separable but not Linear
b) Linear but not Separable
a) (r +1)y" - ry+y=0
b) (-1)y" + xy' + y =0
a) (x² + y²)dr + 2xydy = 0
b) (-y)dz +2rydy = 0
a)
+ xy =
4) How many times do you need to differentiate y = 4a cos(2x - 3b) to obtain the corresponding differential
equation?
a) 2
b) 1
c) 3
5) What is the differential equation of the curve whose general solution is y= C₁+C₂².
c) (-1)y" - xy +y=0
d) (x+1)y" + xy + y =0
2
U
H
6) Which of the following is the differential equation of the family of circles that passes through the origin and
whose center is located at the x axis?
dz
da
b)
+5x² ² (dz)²-²²-0
c) First order, fifth degree
d) Second order, first degree
c) singular solution
d) trivial solution
7) What value of N(x, y) will make the differential equation (3r2y + 4x2)dr + N(x,y)dy = 0 exact?
a) ³ + ey
b) x² + xev
c) ³ + ev
d) x³ +rev
1
y²
+12=
c) Separable and linear
d) Homogeneous
dy
8) The Bernoulli's equation z +y= can be reduced to which linear differential equation?
dr
x
c) (x²-y)dx+ 2xy²dy = 0
d) (x²- y²)dz + 2xydy = 0
dz 2
+-2=-
2
dr
9) Solve: (x+y)dy - (x - y)dx=0
a) x² + y² =C
b) x² + 2xy + y² = C
c) ² - 2xy + y² = C
10) Deteriniue the integrating factor of the differential equation (y tan(z)-e)dx + dy = 0
a) ecos(x)
b) - cos(x)
c) esin(z)
d) 4
c)
dz 1
da
1
x
-N11
Т
d)
2
dz
dr
T
2
d) z² - 2xy-y²=C
d) - sin(x)
Transcribed Image Text:1) Determine the order and degree of the differential equation 3r dz a) Fourth order, first degree. b) First order, third degree 2) A solution of a differential equation free from arbitrary constants but cannot be obtained from the general solution whatever values are assigned to the arbitrary constants is called a a) complementary solution b) particular solution 3) Classify the Differential equation cos z- dy dr a) Separable but not Linear b) Linear but not Separable a) (r +1)y" - ry+y=0 b) (-1)y" + xy' + y =0 a) (x² + y²)dr + 2xydy = 0 b) (-y)dz +2rydy = 0 a) + xy = 4) How many times do you need to differentiate y = 4a cos(2x - 3b) to obtain the corresponding differential equation? a) 2 b) 1 c) 3 5) What is the differential equation of the curve whose general solution is y= C₁+C₂². c) (-1)y" - xy +y=0 d) (x+1)y" + xy + y =0 2 U H 6) Which of the following is the differential equation of the family of circles that passes through the origin and whose center is located at the x axis? dz da b) +5x² ² (dz)²-²²-0 c) First order, fifth degree d) Second order, first degree c) singular solution d) trivial solution 7) What value of N(x, y) will make the differential equation (3r2y + 4x2)dr + N(x,y)dy = 0 exact? a) ³ + ey b) x² + xev c) ³ + ev d) x³ +rev 1 y² +12= c) Separable and linear d) Homogeneous dy 8) The Bernoulli's equation z +y= can be reduced to which linear differential equation? dr x c) (x²-y)dx+ 2xy²dy = 0 d) (x²- y²)dz + 2xydy = 0 dz 2 +-2=- 2 dr 9) Solve: (x+y)dy - (x - y)dx=0 a) x² + y² =C b) x² + 2xy + y² = C c) ² - 2xy + y² = C 10) Deteriniue the integrating factor of the differential equation (y tan(z)-e)dx + dy = 0 a) ecos(x) b) - cos(x) c) esin(z) d) 4 c) dz 1 da 1 x -N11 Т d) 2 dz dr T 2 d) z² - 2xy-y²=C d) - sin(x)
Expert Solution
steps

Step by step

Solved in 3 steps with 8 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,