utf-8''Chap3 Lec4 Second order DE (Student)

# utf-8''Chap3 Lec4 Second order DE (Student) - HUT –...

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Unformatted text preview: HUT – DEPARTMENT OF MATH. APPLIED ---------------------------------------------------------------------------------------------------------- IDE – ADVANCED PROGRAM CHAPTER 3: Linear Differential Equations of Higher Order (3 weeks) • LEC 4: INTRODUCTION: 2 ND ORDER LINEAR EQUATIONS (STUDENT) • PhD. NGUYEÃN QUOÁC LAÂN (10/2007) Textbook: Elementary Differential Equations – Boyce & DiPrima – Chap. 3: Pages 129 → 208 (HUT Library, 8075) CONTENTS------------------------------------------------------------------------------------------------------------------------------- 4.3 Second order Homogenous Linear Differential Equation with constant coefficients: Auxiliary (Characteristic) equation 4.1 Euler’s Introduction to 2 nd order differential equation 4.2 Classification: Linear, Homogenous, Nonhomogenous INTRODUCTION TO 2 ND ORDER DE----------------------------------------------------------------------------------------------------------------------------------------- Example: Solve the following 2 nd order DE: x x x y y cos ' ' ' + = 2 nd order DE: F(x, y, y’, y’’) = 0 → y’’ = f(x, y, y’) Initial value problem (Cauchy’s pro.): ( 29 ( 29 ( 29 = = = 1 ' ,...
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## This note was uploaded on 11/02/2009 for the course ECE ece464 taught by Professor Abc during the Spring '09 term at Jacksonville College.

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utf-8''Chap3 Lec4 Second order DE (Student) - HUT –...

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