Question 1

Find the particular solution of the differential equation   that satisfies the initial condition

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    B

Question 2

Find the general solution of the linear differential equation

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    B

Question 3

If   represents the cost of producing x units in a manufacturing process, the elasticity of cost is defined as   .Find the cost function if the
Elasticity function is

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)    E

Question 4

Use   as a integrating factor to find the general solution of the differential equation

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 5

Find the general solution of the linear differential equation

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 6

Find the general solution of the linear differential equation

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 7

Find the particular solution of the linear differential equation   that satisfies the boundary conditions   if possible.

Accepted Answer

A) no solution 
B)    
C)    
D)    
E)    
A) no solution 
B)    
C)    
D)    
E)

Question 8

Find the general solution of the linear differential equation

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 9

Sketch a graph of the solution of the differential equation   with the initial condition

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 10

Find the particular solution of the differential equation   that satisfies the initial condition

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 11

Find the general solution of the differential equation

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 12

Find the particular solution of the differential equation   that satisfies the initial condition

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 13

Find the particular solution of the differential equation   that satisfies the initial condition

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 14

Find the particular solution of the linear differential equation   that satisfies the initial conditions

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 15

Suppose a 32-pound weight is suspended on a spring.The weight is raised   foot above the equilibrium position and started off with a downward velocity of   foot per second.
Assume that the weight stretches the spring   foot from its natural position.Find a formula for the
Position of the weight as a function of time t.

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 16

Find the general solution of the differential equation

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 17

Find the general solution of the differential equation

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 18

Find the general solution of the linear differential equation

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 19

Find the particular solution of the linear differential equation   that satisfies the initial conditions

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Question 20

Find the general solution of the differential equation

Accepted Answer

A)    
B)    
C)    
D)    
E)    
A)    
B)    
C)    
D)    
E)

Find the particular solution of the differential equation that satisfies the initial condition

Find the general solution of the linear differential equation

If represents the cost of producing x units in a manufacturing process, the elasticity of cost is defined as .Find the cost function if the Elasticity function is

Use as a integrating factor to find the general solution of the differential equation

Find the general solution of the linear differential equation

Find the general solution of the linear differential equation

Find the particular solution of the linear differential equation that satisfies the boundary conditions if possible.

Find the general solution of the linear differential equation

Sketch a graph of the solution of the differential equation with the initial condition

Find the particular solution of the differential equation that satisfies the initial condition

Find the general solution of the differential equation

Find the particular solution of the differential equation that satisfies the initial condition

Find the particular solution of the differential equation that satisfies the initial condition

Find the particular solution of the linear differential equation that satisfies the initial conditions

Find the general solution of the differential equation

Find the general solution of the differential equation

Find the general solution of the linear differential equation

Find the particular solution of the linear differential equation that satisfies the initial conditions

Find the general solution of the differential equation

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Preparation for Calculus

Filters

Exam 16: Additional Topics in Differential Equations

Find the particular solution of the differential equation that satisfies the initial condition

Find the general solution of the linear differential equation

If represents the cost of producing x units in a manufacturing process, the elasticity of cost is defined as .Find the cost function if the Elasticity function is

Use as a integrating factor to find the general solution of the differential equation

Find the general solution of the linear differential equation

Find the general solution of the linear differential equation

Find the particular solution of the linear differential equation that satisfies the boundary conditions if possible.

Find the general solution of the linear differential equation

Sketch a graph of the solution of the differential equation with the initial condition

Find the particular solution of the differential equation that satisfies the initial condition

Find the general solution of the differential equation

Find the particular solution of the differential equation that satisfies the initial condition

Find the particular solution of the differential equation that satisfies the initial condition

Find the particular solution of the linear differential equation that satisfies the initial conditions

Find the general solution of the differential equation

Find the general solution of the differential equation

Find the general solution of the linear differential equation

Find the particular solution of the linear differential equation that satisfies the initial conditions

Find the general solution of the differential equation

Limits and Their Properties

Differentiation

Applications of Differentiation

Integration

Logarithmic, Exponential, and Other Transcendental Functions

Differential Equations

Applications of Integration

Integration Techniques, Lhôpitals Rule, and Improper Integrals

Infinite Series

Conics, Parametric Equations, and Polar Coordinates

Vectors and the Geometry of Space

Vector-Valued Functions

Functions of Several Variables

Multiple Integration

Vector Analysis

Preparation for Calculus

Filters