Question 1

Find the general solution to the differential equation tan(  x) 
 + y = -5 sin(  x).
A)
B) 
C)
D)

Accepted Answer

A

Question 2

Find the general solution of the differential equation x  - 2y =  , x > 0.
A) y = 4  + C 
B) y = 4  + C 
C) y =  + C 
D) y =  + C

Accepted Answer

D

Question 3

Which of the following first-order differential equations are linear in y? Select all that apply. A) (x + 7) = -3y + 3 B) = C) = 6x + + 14 D) E) = 2y + 7y²

Accepted Answer

A, C

Question 4

Consider the differential equation  
Which of the following is the general solution of this equation?
A)
B)
C)
D)

Accepted Answer

The answer of Consider the differential equation  
Which of...

Question 5

Consider the differential equation  
.What choice of the arbitrary constant in the general solution ensures that the solution curve passes through the point (1, 4)?

Accepted Answer

The answer of Consider the differential equation  
.What choice...

Question 6

Consider the differential equation 
Which of these is the general solution to the equation?
A)
B)
C)
D)

Accepted Answer

The answer of Consider the differential equation 
Which of these...

Question 7

Consider the differential equation  - 3y =  .
What choice of the arbitrary constant in the general solution ensures that the solution satisfies the initial condition y(0) = 7?

Accepted Answer

The answer of Consider the differential equation  - 3y...

Question 8

What is the general solution of this first-order differential equation?
x  + 2y = 4  
A)
B)
C)
D)

Accepted Answer

The answer of What is the general solution of this...

Question 9

Identify the integrating factor for this linear differential equation: 
 - 2y =

Accepted Answer

The answer of Identify the integrating factor for this linear...

Question 10

Identify the integrating factor for this linear differential equation:

Accepted Answer

The answer of Identify the integrating factor for this linear...

Question 11

Identify the integrating factor for this linear differential equation:

Accepted Answer

The answer of Identify the integrating factor for this linear...

Question 12

Identify the integrating factor for this linear differential equation:

Accepted Answer

The answer of Identify the integrating factor for this linear...

Question 13

Which of these is the general solution of this homogeneous differential equation?

A)
B)
C)
D)

Accepted Answer

The answer of Which of these is the general solution...

Question 14

Consider the differential equation 
  
(i) Which of these is the general solution of this equation?
  
(ii) What choice of the arbitrary constant in the general solution ensures that the solution curve passes through the point

Accepted Answer

The answer of Consider the differential equation 
  
(i)...

Question 15

What is the general solution of the differential equation 
A)
B)
C)
D)

Accepted Answer

The answer of What is the general solution of the...

Question 16

What is the general solution of the differential equation (1 +  )  = 1 +  ?
A)
B)
C)
D)

Accepted Answer

The answer of What is the general solution of the...

Question 17

What is the general solution of the differential equation  = y sin x + 6sin x?
A)
B)
C)
D)

Accepted Answer

The answer of What is the general solution of the...

Question 18

What is the solution of this initial value problem?

A)
B)
C)
D)

Accepted Answer

The answer of What is the solution of this initial...

Question 19

What is the solution of this initial value problem?

A)
B)
C)
D)

Accepted Answer

The answer of What is the solution of this initial...

Question 20

Consider this initial value problem:

What is the solution of this initial value problem?
A)
B)
C)
D)

Accepted Answer

The answer of Consider this initial value problem:

What is the...

Quiz 2: First-Order Differential Equations

Find the general solution to the differential equation tan( x) + y = -5 sin( x) .

Find the general solution of the differential equation x - 2y = , x > 0.

Which of the following first-order differential equations are linear in y? Select all that apply.

Consider the differential equation Which of the following is the general solution of this equation?

Consider the differential equation .What choice of the arbitrary constant in the general solution ensures that the solution curve passes through the point (1, 4)?

Consider the differential equation Which of these is the general solution to the equation?

Consider the differential equation - 3y = . What choice of the arbitrary constant in the general solution ensures that the solution satisfies the initial condition y(0) = 7?

What is the general solution of this first-order differential equation? x + 2y = 4

Identify the integrating factor for this linear differential equation: - 2y =

Identify the integrating factor for this linear differential equation:

Identify the integrating factor for this linear differential equation:

Identify the integrating factor for this linear differential equation:

Which of these is the general solution of this homogeneous differential equation?

Consider the differential equation (i) Which of these is the general solution of this equation? (ii) What choice of the arbitrary constant in the general solution ensures that the solution curve passes through the point

What is the general solution of the differential equation

What is the general solution of the differential equation (1 + ) = 1 + ?

What is the general solution of the differential equation = y sin x + 6sin x?

What is the solution of this initial value problem?

What is the solution of this initial value problem?

Consider this initial value problem: What is the solution of this initial value problem?