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Higher order differential equations Samy Tindel Purdue University Differential equations and linear algebra - MA 262 Taken from Differential equations and linear algebra Edwards, Penney, Calvis Samy T. Higher order Differential equations 1/85 Outline 1 Introduction: second order linear equations General theory Equations with constant coefficients 2 General solutions of linear equations 3 Homogeneous equations with constant coefficients 4 Mechanical vibrations 5 Non homogeneous equations and undetermined coefficients Undetermined coefficients Variation of parameters Samy T. Higher order Differential equations 2/85 Outline 1 Introduction: second order linear equations General theory Equations with constant coefficients 2 General solutions of linear equations 3 Homogeneous equations with constant coefficients 4 Mechanical vibrations 5 Non homogeneous equations and undetermined coefficients Undetermined coefficients Variation of parameters Samy T. Higher order Differential equations 3/85 Outline 1 Introduction: second order linear equations General theory Equations with constant coefficients 2 General solutions of linear equations 3 Homogeneous equations with constant coefficients 4 Mechanical vibrations 5 Non homogeneous equations and undetermined coefficients Undetermined coefficients Variation of parameters Samy T. Higher order Differential equations 4/85