Chapter 21 Exact Differential Equation Chapter 2 Exact Differential Equation.

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Presentation transcript:

Chapter 21 Exact Differential Equation Chapter 2 Exact Differential Equation

Chapter 22 Exact Differential Equation Chapter 2

Chapter 23 Exact Differential Equation Chapter 2 Exactness Test

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

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

Chapter 26 Exact Differential Equation Chapter 2

Chapter 27 Exact Differential Equation Chapter 2

Example : Exact quation Exact Differential Equation Chapter 2

Chapter 29 Exact Differential Equation Chapter 2 Making Exact IF

Integrating Factor To make DE Exact Exact Differential Equation Chapter 2

Chapter 211 Exact Differential Equation Chapter 2 Integrating Factor To make DE Exact

Chapter 212 To make Exact Differential Equation Chapter 2

Chapter 213 To make Exact Differential Equation Chapter 2

Chapter 214 To make Exact Differential Equation Chapter 2

Chapter 215 To make Exact Differential Equation Chapter 2 Exercise: Solve the differential equation by making it exact Solution is Integrating factor is f(x) = x

Chapter 2 16 To make Exact Differential Equation Chapter 2 Exercise: Integrating factor is Solution is C = 5