EGM6321 - Principles of Engineering Analysis 1, Fall 2010[edit | edit source]
Mtg 1: Thur,24Aug10
HW P.10-4 (continued)
2) Assume , Eq(8) P.10-3 becomes
Where and from K.p.512
Find expression for in terms of .
NOTE: cf. to K.p.512
1) K. etal. did not derive expression Eq.(1)p.10-3
"pulling rabbit out of hat"
2) without constant in K.2003
Eq.(6)p.10-3 :2 constants and
But Eq.(5)p.10-2 is L1_ODE_VC
HW: Show that is not necessary.
HW: Show Eq.(6)p.10-3 agrees with K.p.512, i.e.
HW: Find independant, i.e. solve
How about ? Variation fo parameters (later)
A class of exact N1_ODE:
Recall Eq.(7)p.10-1 (Case 1)
One possibility to satisfy this condition:
Where Eq(6) is a L1_ODE_VC (not necessarily exact, but can be made exact: integrating factor method)
F09: Find such that Eq.(7) is exact
Question: But Eq.(6)p.11-3 is linear!
Find N1_ODEs that are exact or can be made exact by integrating factor method.