1. For the given DE y'-f(x,y) with a General Solution y ax>-1 bx<1 c.x2-1 d.x21 2. The equation y'+5y = 0 is a. exact, separable and homogeneous b. separable, exact and bernoulli c. bernoulli, exact and homogeneous d. separable, bernoulli and linear 3. Separable equations are Exact Equations a. Sometimes TRUE b. Always TRUE c. Never TRUE d. Insufficient Information 4. If an equation of the form M(x,y) dx + N(x,y) dy-0, has its partial derivatives M, N,, then the equation is a. a Separable Equation b. a Homogeneous Equation c. an Exact Equation d. a Non Exact Equation √x+1 5. A bernoulli equation is a. a linear equation when n=1. b. a separable equation when n=0 c. a linear equation when n=0 d. all of these. ▸ 6. The equation (x2 + 4xy)dx + (x³ + 2x²)dy = 0 is a a/an a. separable equation b. exact equation c. linear equation d. homogeneous equation du Əv ax the domain of the solution 15 7. The equation y'+ 3y/x = sec²x is a a/an a separable equation b. exact equation c. linear equation d. homogeneous equation a. at 8. Which of the following equations is an ordinary differential equation 0²v c. F + F, = 2 d. y'+xy=xsinx b. Ət k Jus Əx (3) y(0) = 6. As x increases to the right: 1=3 from below c
1. For the given DE y'-f(x,y) with a General Solution y ax>-1 bx<1 c.x2-1 d.x21 2. The equation y'+5y = 0 is a. exact, separable and homogeneous b. separable, exact and bernoulli c. bernoulli, exact and homogeneous d. separable, bernoulli and linear 3. Separable equations are Exact Equations a. Sometimes TRUE b. Always TRUE c. Never TRUE d. Insufficient Information 4. If an equation of the form M(x,y) dx + N(x,y) dy-0, has its partial derivatives M, N,, then the equation is a. a Separable Equation b. a Homogeneous Equation c. an Exact Equation d. a Non Exact Equation √x+1 5. A bernoulli equation is a. a linear equation when n=1. b. a separable equation when n=0 c. a linear equation when n=0 d. all of these. ▸ 6. The equation (x2 + 4xy)dx + (x³ + 2x²)dy = 0 is a a/an a. separable equation b. exact equation c. linear equation d. homogeneous equation du Əv ax the domain of the solution 15 7. The equation y'+ 3y/x = sec²x is a a/an a separable equation b. exact equation c. linear equation d. homogeneous equation a. at 8. Which of the following equations is an ordinary differential equation 0²v c. F + F, = 2 d. y'+xy=xsinx b. Ət k Jus Əx (3) y(0) = 6. As x increases to the right: 1=3 from below c
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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DUE NOW. Please answer it, just the letter of the correct answers, no need for solution. Please answer it all, no need for solution.
Transcribed Image Text:1. For the given DE y'=f(x,y) with a General Solution y =
a x>-1 b. x<1 c.x2-1 d.x21
2. The equation y'+5y = 0 is
a. exact, separable and homogeneous b. separable, exact and bernoulli c. bernoulli, exact and
homogeneous d. separable, bernoulli and linear
√x+1
3. Separable equations are Exact Equations
a. Sometimes TRUE b. Always TRUE c. Never TRUE
4. If an equation of the form M(x,y) dx + N(x,y) dy =0, has its partial derivatives M, N., then the equation
IS
a. a Separable Equation b. a Homogeneous Equation c. an Exact Equation d. a Non Exact Equation
, the domain of the solution is
5. A bernoulli equation is
a. a linear equation when n=1. b. a separable equation when n=0 c. a linear equation when n=0 d. all
of these.
6
The equation (x² + 4xy)dx + (³ + 2x²)dy = 0 is a a/an
a. separable equation b. exact equation c. linear equation d. homogeneous equation
a.
d. Insufficient Information
7. The equation y'+ 3y/x = sec²x is a a/an
a. separable equation b. exact equation c. linear equation d homogeneous equation
b.
8. Which of the following equations is an ordinary differential equation
Ou
du
Əv
at
Əx
dx c
84²
F+Fy
+ F = 2 d. y'+xy=xsinx
9. Discuss the behavior of the graph of dy/dx = (y-3), y(0) = 6. As x increases to the right:
a. the graph converges to y = 3 from above b. the graph converges to y =3 from below c. the graph
increases without bound from y = 3. d. the graph decreases without bound from y = 3.
(4x+3)y+ (6y-1)x= c
D. The equation (4x+3)dx + (6y-1)dy = 0 is exact. Find its general solution.
a. 4xy+3y-x = c
c. 2x² + 3x + 3p²-y=c_ d. None of these
C.
-xy-c c.
The equation (3x-y)dx=(x-3y)dy is exact. Find its general solution.
3x² - 2xy + 3y²-c b. 3x² - xy
a
2
-cd. None of these
c. -x² + 3xy-y²-c
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