University of Florida/Egm6321/F10.TEAM1.WILKS/Mtg13

EGM6321 - Principles of Engineering Analysis 1, Fall 2009Edit

Mtg 13: Tues, 22Sept09


Page 13-1

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Euler integrating factor method Eq.(1) P.12-3

 

(1)



Where:  

HW: Find (m,n) such that Eq(1) is exact.

Result: A first integration is:

 

(2)



Where   and   and   are constants

HW: Solve Eq(2) for   HINT: L1_ODE_VC (integrating factor)

A class of exact L2_ODE_VC (how to invent more exact L2_ODE_VC)

HW: Find mathematical structure of   that yields the above class

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Where   and  

and   and   and  

Answer:

 

(1)



Eq.(2) P.13-1  :   and   and  

Exact Nn_ODE's, where N means nonlinear and n means nth order

 

(2)



Where   and   and  

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Condition 1 for exactness:

 

(1)



Where   is related term by term to  

Condition 2 of exactness:  , where  

 

(2)



HW: Case   (N1_ODE)

 

 

HINT:  

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Case   (N2_ODE)

 

 

ReferencesEdit