SEPARATION OF VARIABLES Section 6 3 Calculus APDual

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SEPARATION OF VARIABLES Section 6. 3 Calculus AP/Dual, Revised © 2015 viet. dang@humble. k

SEPARATION OF VARIABLES Section 6. 3 Calculus AP/Dual, Revised © 2015 viet. dang@humble. k 12. tx. us 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 1

DIFFERENTIAL EQUATIONS 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 2

DIFFERENTIAL EQUATIONS 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 2

EXAMPLE 1 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 3

EXAMPLE 1 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 3

EXAMPLE 1 (EASIER WAY) 12/27/2021 3: 04 AM 6. 3 - Separation of Variables

EXAMPLE 1 (EASIER WAY) 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 4

EXAMPLE 2 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 5

EXAMPLE 2 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 5

YOUR TURN 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 6

YOUR TURN 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 6

STEPS 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 7

STEPS 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 7

EXAMPLE 3 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 8

EXAMPLE 3 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 8

EXAMPLE 3 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 9

EXAMPLE 3 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 9

YOUR TURN 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 10

YOUR TURN 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 10

EXAMPLE 4 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 11

EXAMPLE 4 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 11

EXAMPLE 4 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 12

EXAMPLE 4 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 12

YOUR TURN 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 13

YOUR TURN 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 13

REVIEW 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 14

REVIEW 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 14

EXAMPLE 5 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 15

EXAMPLE 5 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 15

EXAMPLE 5 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 16

EXAMPLE 5 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 16

EXAMPLE 5 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 17

EXAMPLE 5 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 17

EXAMPLE 5 A* 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 18

EXAMPLE 5 A* 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 18

EXAMPLE 5 A* 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 19

EXAMPLE 5 A* 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 19

EXAMPLE 5 A* 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 20

EXAMPLE 5 A* 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 20

EXAMPLE 5 A* 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 21

EXAMPLE 5 A* 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 21

YOUR TURN* 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 22

YOUR TURN* 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 22

EXAMPLE 6 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 23

EXAMPLE 6 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 23

EXAMPLE 6 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 24

EXAMPLE 6 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 24

EXAMPLE 6 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 25

EXAMPLE 6 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 25

EXAMPLE 7 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 26

EXAMPLE 7 12/27/2021 3: 04 AM 6. 3 - Separation of Variables 26

YOUR TURN 12/27/2021 3: 05 AM 6. 3 - Separation of Variables 27

YOUR TURN 12/27/2021 3: 05 AM 6. 3 - Separation of Variables 27

AP QUESTION 12/27/2021 3: 05 AM 6. 3 - Separation of Variables 28

AP QUESTION 12/27/2021 3: 05 AM 6. 3 - Separation of Variables 28

ASSIGNMENT Worksheet 12/27/2021 3: 05 AM 6. 3 - Separation of Variables 29

ASSIGNMENT Worksheet 12/27/2021 3: 05 AM 6. 3 - Separation of Variables 29

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