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Chapter 21 Exact Differential Equation Chapter 2 Exact Differential Equation.

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Presentation on theme: "Chapter 21 Exact Differential Equation Chapter 2 Exact Differential Equation."— Presentation transcript:

1 Chapter 21 Exact Differential Equation Chapter 2 Exact Differential Equation

2 Chapter 22 Exact Differential Equation Chapter 2

3 Chapter 23 Exact Differential Equation Chapter 2 Exactness Test

4 Chapter 24 Exact Differential Equation Chapter 2 STEP:1 STEP:2

5 Chapter 25 Exact Differential Equation Chapter 2 STEP:3 Find k(y) STEP:4 STEP:5 STEP:6

6 Chapter 26 Exact Differential Equation Chapter 2

7 Chapter 27 Exact Differential Equation Chapter 2

8 Chapter 28 Exact Differential Equation Chapter 2 Making Exact IF

9 Chapter 29 Exact Differential Equation Chapter 2 Multiply by F(x) or G(y)

10 Chapter 210 To make Exact Differential Equation Chapter 2

11 Chapter 211 To make Exact Differential Equation Chapter 2

12 Chapter 212 To make Exact Differential Equation Chapter 2

13 Chapter 213 To make Exact Differential Equation Chapter 2 Exercise: Solve the differential equation by making it exact Solution is Integrating factor is f(x) = x

14 Chapter 2 14 To make Exact Differential Equation Chapter 2 Exercise: Integrating factor is Solution is C = 5

15 Chapter 215 First order Linear Differential Equation Chapter 2

16 Chapter 216 First order Linear Differential Equation Chapter 2 Method

17 Chapter 217 First order Linear Differential Equation Chapter 2

18 Chapter 218 First order Linear Differential Equation Chapter 2

19 Chapter 219 First order Linear Differential Equation Chapter 2 Exercise:

20 Chapter 220 First order Linear Differential Equation Chapter 2

21 Chapter 221 First order Linear Differential Equation Chapter 2


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