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Chap5 Lec10 Separation1 (Student)

Chap5 Lec10 Separation1 (Student) - H UT DEPARTM ENT OF M...

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HUT – DEPARTMENT OF MATH. APPLIED ---------------------------------------------------------------------------------------------------------- IDE – ADVANCED PROGRAM CHAPTER 5: PARTIAL DIFFERENTIAL EQUATIONS (PDE) LEC 10: INTRODUCTION – SEPARATION OF VARIABLES PhD. NGUYEÃN QUOÁC LAÂN (11/2007)

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CONTENTS ------------------------------------------------------------------------------------------------------------------------------- 10.1 INTRODUCTION TO PDE 10.2 METHOD OF SEPARATION OF VARIABLES FOR 1 ST ORDER PDE 10.3 METHOD OF SEPARATION OF VARIABLES FOR 2 ND ORDER PDE: HEAT EQUATION 10.4 EIGENVALUES PROBLEM
INTRODUCTION: PARTIAL DIFFERENTIAL EQUATIONS ---------------------------------------------------------------------------------------------------------------------------------------------- 0 , , , , , , , , , , 2 1 2 2 2 1 2 1 2 1 = x x u x u x u x u x x x F n Unknown function of several variables: u = u(x

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Chap5 Lec10 Separation1 (Student) - H UT DEPARTM ENT OF M...

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