Applications of Differential Equations Test

Unit Test #27

Select your answers to the following 5 questions from the pop-up menus in the right hand column. Clicking the "Begin Test Again" button will clear all the answers.

 

 

Q1:

 

The general solution for the differential equation y ' = ky
is y =Aekx.

Solve y ' = 5y

A. y =5e5x

B. y =0.2e5x

C. y =5e0.2x

D. y =Ae5x

Answer 1:

 

 

Q2:

 
Find the particular solution the differential equation y ' = 5y given that when x = 0, y = 2

A. y =2e5x

B. y =0.2e5x

C. y = 0

D. y =5e5x

Answer 2:

 

 

Q3:

 

 Find the value of S if S = 3400e-2.3

A. 3391

B. 340.9

C. -340.9

D. -7820

Answer 3:

 

 

Q4:

 

 Find the general solution y ' = 0.5y.

A. y = 0.5e0.5x

B. y = 2e0.5x

C. y = Ae0.5x

D. y = Ae2x

Answer 4:

 

 

Q5:

 
For the differential equation in question 4, solve the equation given that when x = 1, y = 1

A. y = 0.61e0.5x

B. y = e0.5x

C. y = Ae0.5x

D. y = 1.65e0.5x

 

Answer 5: