1. Find the order and degree of the differential equation C. 9th order, 13th degree 3rd order, 7th degree + y = dr = sin sin x dr A. 4th order, 7th degree B. 4th order, 5th degree D.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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1. Find the order and degree of the differential equation )
dr
+ y = sin sin x
dz
A. 4th order, 7"h degree
B. 4th order, 5th degree
9th order, 13th degree
D. 3rd order, 7th degree
C.
2. Find the general solution of xv + 1) dx + y (x – 1) dy = 0
x2 - y? + 2x - 2y +
x? + y?
C.
2ln[(y + 1)/(x - 1)] = C
x2 + y? + 2x
D.
2ln[(y + 1)/(x - 1)] = C
2x
2y +
А.
2ln[(y + 1)/(x - 1)] = C
x + y?
2x + 2y +
2y +
В.
2ln[(y + 1)/(x - 1)] = C
3. Find the general solution of = 2x+ 2xy"
y + 2x y
1- 2x? = C(1 - y?)
D. 1 - 2x? %3D c(1 + у?)
A.
1 + 2x?
C(1 + y?)
C.
В. 1 + 2x? %3D C(1 - у?)
4. Find the general solution of (x' + y) dx =
A. -3x + 2y = Cx
B. 7x' + 2y = Cx
3xy" dy
с. -6х - у? %3D Сх
D. x - 2y? %3D Сх
5. Find the general solution of (6x - 7y) dx – 14xy dy = 0
A. x(2x? + 7y?) = c
в. у(2x? + 7у) - с
С. x(2х? - 7у?) %3D с
D. y(2x? - 7y²) = C
Transcribed Image Text:1. Find the order and degree of the differential equation ) dr + y = sin sin x dz A. 4th order, 7"h degree B. 4th order, 5th degree 9th order, 13th degree D. 3rd order, 7th degree C. 2. Find the general solution of xv + 1) dx + y (x – 1) dy = 0 x2 - y? + 2x - 2y + x? + y? C. 2ln[(y + 1)/(x - 1)] = C x2 + y? + 2x D. 2ln[(y + 1)/(x - 1)] = C 2x 2y + А. 2ln[(y + 1)/(x - 1)] = C x + y? 2x + 2y + 2y + В. 2ln[(y + 1)/(x - 1)] = C 3. Find the general solution of = 2x+ 2xy" y + 2x y 1- 2x? = C(1 - y?) D. 1 - 2x? %3D c(1 + у?) A. 1 + 2x? C(1 + y?) C. В. 1 + 2x? %3D C(1 - у?) 4. Find the general solution of (x' + y) dx = A. -3x + 2y = Cx B. 7x' + 2y = Cx 3xy" dy с. -6х - у? %3D Сх D. x - 2y? %3D Сх 5. Find the general solution of (6x - 7y) dx – 14xy dy = 0 A. x(2x? + 7y?) = c в. у(2x? + 7у) - с С. x(2х? - 7у?) %3D с D. y(2x? - 7y²) = C
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