Question 1

Deer in a certain region, are born at a rate that is proportional to their current population. With the absence of outside factors, the population will double in 3 years' time.
Each year 5 deer join the population, 10 are caught by hunters, and 4 die of natural causes.
If initially there are 50 deer, will the population survive? If not, when will it die out?

Accepted Answer

The answer of Deer in a certain region, are born...

Question 2

The curves orthogonal to the solutions of  are:
A)  .
B)  .
C)  .
D)  .
E) none of the above.

Accepted Answer

The answer of The curves orthogonal to the solutions of...

Question 3

Solve the differential equation  .

Accepted Answer

The answer of Solve the differential equation  ....

Question 4

Solve the following equations.
A)  
B)

Accepted Answer

The answer of Solve the following equations.
A)  
B) ...

Question 5

The differential equation  can be solved by which of the following?
A) separating the variables
B) rewriting the equation with  as the dependent variable and solving the linear equation
C) rewriting the equation with  as the dependent variable and separating the variables
D) Euler's Method
E) none of the above

Accepted Answer

The answer of The differential equation  can be solved...

Question 6

The differential equation  can be solved by which of the following?
A) separating the variables
B) rewriting the equation with  as the dependent variable and solving the linear equation
C) rewriting the equation with  as the dependent variable and separating the variables
D) answers B and C are correct.
E) Euler's method.

Accepted Answer

The answer of The differential equation  can be solved...

Question 7

The differential equation  can be solved by which of the following?
A) solving the linear equation - the equation is in the form of a linear equation
B) separating the variables
C) rewriting it with  as the dependent variable and solving the resulting linear equation
D) rewriting it with  as the dependent variable and solving the resulting separable equation
E) none of the above

Accepted Answer

The answer of The differential equation  can be solved...

Question 8

Solve the initial value problem  .

Accepted Answer

The answer of Solve the initial value problem  ....

Question 9

Solve the initial value problem  .

Accepted Answer

The answer of Solve the initial value problem  ....

Question 10

Use the following steps.
A) Write an equation for the areas using integrals.
B) Differentiate the equation in A and solve the resulting linear equation.
Ans:
A)  B) 
-A pool contains 12 million gal of fresh water. Contaminated water flows into the pool at a rate of 4 million gal/year as the mixture in the pool flows out at the same rate.
The concentration  of the chemical in the incoming contaminated water is  g/gal, where t is in years.
Find the amount  of the chemical in the pool at time  .

Accepted Answer

The answer of Use the following steps.
A) Write an equation...

Question 11

The curves orthogonal to the solutions of  are:
A)  .
B)  .
C)  .
D)  .
E) none of the above.

Accepted Answer

The answer of The curves orthogonal to the solutions of...

Question 12

Solve the differential equation  .

Accepted Answer

The answer of Solve the differential equation  ....

Question 13

Solve the initial value problem  .

Accepted Answer

The answer of Solve the initial value problem  ....

Quiz 10: Introduction to Differential Equations

The curves orthogonal to the solutions of are:

Solve the differential equation .

Solve the following equations. A) B)

The differential equation can be solved by which of the following?

The differential equation can be solved by which of the following?

The differential equation can be solved by which of the following?

Solve the initial value problem .

Solve the initial value problem .

The curves orthogonal to the solutions of are:

Solve the differential equation .

Solve the initial value problem .