Transcription of Chapter 2 Ordinary Differential Equations
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Chapter 2 Ordinary Differential Equations
Chapter 2 Ordinary Differential Equations Chapter 2 Ordinary Differential Equations Chapter 2 Ordinary Differential Equations Chapter 2 Ordinary Differential Equations Basic concepts, definitions, notations and classification Introduction modeling in engineering Differential equation - Definition Ordinary Differential equation (ODE) Partial Differential Equations (PDE) Differential operator D Order of DE Linear operator Linear and non-linear DE Homogeneous ODE Non-homogeneous ODE Normal form of nth order ODE Sol
Chapter 2 Ordinary Differential Equations (PDE). In Example 1, equations a),b) and d) are ODE’s, and equation c) is a PDE; equation e) can be considered an ordinary differential equation with the parameter t. Differential operator D It is often convenient to use a special notation when dealing with differential equations.
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