Deck 16: Additional Topics in Differential Equations

Question 1

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

A)
B)
C)
D)
E)

Answer 1

Question 2

Find the general solution of the differential equation

A)
B)
C)
D)
E)

Answer 2

Question 3

Find the general solution of the linear differential equation

A)
B)
C)
D)
E)

Answer 3

Question 4

Find the integrating factor of the differential equation that is a function of x or y alone.

A)
B)
C)
D)
E)

Question 5

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

A)
B)
C)
D)
E)

Question 6

Find the general solution of the differential equation

A)
B)
C)
D)
E)

Question 7

Find the general solution of the differential equation

A)
B)
C)
D)
E)

Question 8

Find the general solution of the linear differential equation

A)
B)
C)
D)
E)

Question 9

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

A)
B)
C)
D)
E)

Question 10

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

A)
B)
C)
D)
E)

Question 11

Find the integrating factor of the differential equation that is a function of x or y alone.

A)
B)
C)
D)
E)

Question 12

Find the integrating factor of the differential equation that is a function of x or y alone.

A)
B)
C)
D)
E)

Question 13

Find the general solution of the linear differential equation

A)
B)
C)
D)
E)

Question 14

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

A)
B)
C)
D)
E)

Question 15

Find the general solution of the linear differential equation

A)
B)
C)
D)
E)

Question 16

Find the value of k such that the differential equation is exact.

A)
B)
C)
D)
E)

Question 17

Find the general solution of the linear differential equation

A)
B)
C)
D)
E)

Question 18

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

A)
B)
C)
D)
E)

Question 19

Find the general solution of the differential equation

A)
B)
C)
D)
E)

Question 20

Find the general solution of the linear differential equation

A)
B)
C)
D)
E)

Question 21

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

A)
B)
C)
D)
E)

Question 22

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

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

Question 23

Consider the differential equation and the solution Find the particular solution satisfying the initial conditions

A)
B)
C)
D)
E)

Question 24

Suppose a 32-pound weight is suspended on a spring.The weight is pulled foot below the equilibrium position and released.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.

A)
B)
C)
D)
E)

Question 25

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.

A)
B)
C)
D)
E)

Question 26

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

A)
B)
C)
D)
E)

Question 27

Suppose a 32-pound weight is suspended on a spring.The weight is pulled foot below the equilibrium position and released.The motion takes place in a Med that furnishes a
Damping force of magnitude speed at all times.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.

A)
B)
C)
D)
E)

Question 28

Find the general solution of the linear differential equation

A)
B)
C)
D)
E)

Question 29

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

A)
B)
C)
D)
E)

Question 30

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

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