AP Calculus Notes (1E) By : Hsiang-Sen Jung
CH9
Differential Equations
Student No. ____________ Name ____________
CH 9 DIFFERENTIAL EQUATIONS 9.1 9.2 9.3 9.4 9.5
Modeling with Differential Equations Direction Fields and Euler’s Method Separable Equations Exponential Growth and Decay The Logistic Equation *
* BC only
1 9 14 16 24
9.1
MODELING WITH DIFFERENTIAL EQUATIONS
2
SECTION 9.1
MODELING WITH DIFFERENTIAL EQUATIONS
SECTION 9.1
MODELING WITH DIFFERENTIAL EQUATIONS
3
4
SECTION 9.1
MODELING WITH DIFFERENTIAL EQUATIONS
SECTION 9.1
MODELING WITH DIFFERENTIAL EQUATIONS
5
6
SECTION 9.1
MODELING WITH DIFFERENTIAL EQUATIONS
SECTION 9.1
MODELING WITH DIFFERENTIAL EQUATIONS
7
8
SECTION 9.1
MODELING WITH DIFFERENTIAL EQUATIONS
SECTION 9.1
MODELING WITH DIFFERENTIAL EQUATIONS
9
9.2
DIRECTION FIELDS AND EULER’S METHOD
SECTION 9.2
DIRECTION FIELDS AND EULER’S METHOD
11
12
SECTION 9.2
DIRECTION FIELDS AND EULER’S METHOD
SECTION 9.2
DIRECTION FIELDS AND EULER’S METHOD
13
14
SECTION 9.2
DIRECTION FIELDS AND EULER’S METHOD
SECTION 9.2
DIRECTION FIELDS AND EULER’S METHOD
15
9.3
SEPARABLE EQUATIONS
SECTION 9.3
SEPARABLE EQUATIONS
17
18
SECTION 9.3
SEPARABLE EQUATIONS
9.4
EXPONENTIAL GROWTH AND DECAY
20
SECTION 9.4
EXPONENTIAL GROWTH AND DECAY
SECTION 9.4
EXPONENTIAL GROWTH AND DECAY
21
22
SECTION 9.4
EXPONENTIAL GROWTH AND DECAY
SECTION 9.4
EXPONENTIAL GROWTH AND DECAY
23
24
SECTION 9.4
EXPONENTIAL GROWTH AND DECAY
SECTION 9.4
EXPONENTIAL GROWTH AND DECAY
25
26
SECTION 9.4
EXPONENTIAL GROWTH AND DECAY
SECTION 9.4
EXPONENTIAL GROWTH AND DECAY
27
9.5
THE LOGISTIC EQUATION
SECTION 9.5
THE LOGISTIC EQUATION
29
30
SECTION 9.5
THE LOGISTIC EQUATION
SECTION 9.5
THE LOGISTIC EQUATION
31
32
SECTION 9.5
THE LOGISTIC EQUATION