9. Which of the following equations is (are) Bernoulli? dy (A) y + In y = tan² (z+5) (B) = (1+y)y=ry² y dr dy (C) dr (D) I 3ry³ + 2y 3x + 2 + + cos y y²
9. Which of the following equations is (are) Bernoulli? dy (A) y + In y = tan² (z+5) (B) = (1+y)y=ry² y dr dy (C) dr (D) I 3ry³ + 2y 3x + 2 + + cos y y²
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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Transcribed Image Text:9. Which of the following equations is(are) Bernoulli?
12.
13.
14.
dy
(A) y+Indr
15.
(B)
16.
11. Consider the equation
differential equation?
z dy
y dr
dr
10. Consider the linear differential equation - 3rye" =-y. Determine its integrating factor.
dy
= tan²(x + 5)
(A) (+1)
(B) 3e (y + 1)
- (1+y)y = xy²
ƏN
ər
dr
dt
7 1²
dy
(C) dr
(D)
=
dr
ƏN
ər
(A) y
(B) -y
(A) The differential equation is variable separable.
(B) The differential equation is linear in z.
(C) The differential equation is exact.
(D) The differential equation is an equation with homogeneous coefficients.
(A)
2sinroosr+1+trườn+4rray
(B) 2 sin rcos z+1+4ry³e+4ye²²
3ry³ + 2y
3x + 2
For the next three items, consider the following differential equation:
(y-ox) -
(A) 2sinzoosr+highest tren
(B) 2 sin z cos z +2+4³ +4re²
+ cos y =
(D) ele(+1)
Which of the following is(are) true in relation to the given
Let M be the coefficient of dr and N be the coefficient of dy.
ƏM
ду
(A) 2 sin z cosz+1+4ry³e+4re²y²
(B) 2 sin z cos z+1+4zy³e + 4ye
(r-sin²r - 4rye)dr + (2y sinr cos x+y+2y²e)dy = 0
1
3/²
(C) 2 sinr cosr-1+4ry³e+4re²
(D) 2 sin r cos r-1+4ry³e + 4yey²
(C) 2 sin rcosr-1+4ry³e+4re²
(D) 2 sin rcosr-1+4ry³e² + 4yey
For the next five questions, consider the following differential equation:
(C) 0
(D) 2 sin rcos z-2+4ry³e² +4re²²
Let M be the coefficient of dr and N be the coefficient of dy.
OM
Əy
(A) 2y+3ry2
(B) y² + 2xy³
(y² +2ry³) dr + (5y² - xy + y² siny)dy = 0
(C) 4y
(D) -4y
(C) y + 3ry²
(D) 2y + 6zy2
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