University of Florida/Egm6321/F10.TEAM1.WILKS/Mtg13
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EGM6321 - Principles of Engineering Analysis 1, Fall 2009[edit | edit source]
Mtg 13: Tues, 22Sept09
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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)