A First Course in - with Modeling Applica�ons 10e Dennis Zill (Te...

A First Course in Differen�al Equa�ons with Modeling Applica�ons 10e Dennis Zill (Test Bank All Chapters, 100% Original Verified, A+ Grade) 1 / 4

Chapter 01 Form C: INTRODUCTION TO DIFFERENTIAL EQUATIONS

MULTIPLE CHOICE

• The differential equation is

Select the correct answer.

• first order linear
• second order linear
• third order linear
• first order nonlinear
• second order nonlinear

ANS: B PTS: 1

• The differential equation is

Select the correct answer.

• first order linear
• second order linear
• third order linear
• first order nonlinear
• second order nonlinear

ANS: E PTS: 1

• The differential equation is

Select the correct answer.

• first order linear
• second order linear
• third order linear
• first order nonlinear
• second order nonlinear

ANS: A PTS: 1

• The differential equation is

Select the correct answer.

• first order linear
• second order linear
• third order linear
• first order nonlinear
• second order nonlinear

ANS: E PTS: 1

• The differential equation is 2 / 4

Select the correct answer.

• first order linear
• second order linear
• third order linear
• first order nonlinear
• second order nonlinear

ANS: C PTS: 1

• The values of m for which is a solution of are

Select the correct answer.

• 2 and 4
• and
• 3 and 4
• 2 and 3
• 1 and 5

ANS: D PTS: 1

• The values of m for which is a solution of are

Select the correct answer.

• 2 and 4
• and
• 3 and 5
• 2 and 3
• 1 and 5

ANS: A PTS: 1

• The values of c for which is a constant solution of are

Select the correct answer.

• 1 and 4
• and
• 1 and
• and 3
• 1 and 3

ANS: C PTS: 1

• The values of m for which is a solution of are

Select the correct answer.

• 1 and 4
• and 4
• 2 and 3
• and 3 / 4

• and 5

ANS: E PTS: 1

• The population of a town increases at a rate proportional to its population. Its initial

population is 1000. The correct initial value problem for the population, , as a function of time, t, is Select the correct answer.

a.

b.

c.

d.

e.

ANS: A PTS: 1

• The solution of the initial value problem is , where

Select the correct answer.

• 2

b.

• 3

d.

• 1

ANS: A PTS: 1

• The solution of the initial value problem is ,

where Select the correct answer.

• 2

b.c.d.

• 1

ANS: B PTS: 1

• The initial value problem has a unique solution guaranteed by

Theorem 1.1 if Select the correct answer.

• / 4