Deck 9: Differential Equations

Question 1

Solve the differential equation.

Answer 1

Question 2

Answer 2

Question 3

Solve the initial-value problem.

Answer 3

Question 4

Question 5

Question 6

Question 7

Question 8

Solve the differential equation.

Question 9

Question 10

Question 11

Question 12

Question 13

Question 14

Question 15

What are the constant solutions of the equation?

Question 16

Find the orthogonal trajectories of the family of curves.

Question 17

Question 18

Question 19

Question 20

Question 21

Let c be a positive number.A differential equation of the form

Question 22

Question 23

A population is modeled by the differential equation.

Question 24

Question 25

We modeled populations of aphids and ladybugs with a Lotka-Volterra system.Suppose we modify those equations as follows:

Question 26

Solve the differential equation.

Question 27

Question 28

Question 29

Question 30

Solve the differential equation.

Question 31

Question 32

Question 33

Solve the differential equation.

Question 34

Question 35

Question 36

Question 37

Question 38

Which of the following functions is a solution of the differential equation?

Question 39

Which of the following functions are the constant solutions of the equation

Question 40

Question 41

Question 42

Solve the differential equation.

Question 43

Solve the initial-value problem.

Question 44

Question 45

Question 46

Question 47

Question 48

Question 49

Question 50

Question 51

Question 52

Question 53

Question 54

Suppose that a population develops according to the logistic equation

Question 55

Solve the initial-value problem.

Question 56

Determine whether the differential equation is linear.

A)the equation is not linear
B)the equation is linear

Question 57

Solve the initial-value problem.

Question 58

Solve the initial-value problem.

Question 59

Solve the differential equation.

Question 60

Solve the differential equation.