University of Florida/Egm6321/F10.TEAM1.WILKS/Mtg25

EGM6321 - Principles of Engineering Analysis 1, Fall 2009
[tp://upload.wikimedia.org/wikiversity/en/e/e5/Egm6321.f09.mtg25.djvu Mtg 25:] Tues, 20Oct09

[[media: Egm6321.f09.mtg25.djvu | Page 25-2]]
Generate non-exact L2_ODE_VC that can be made exact by intergral factor method: $$ x^a \left [ x^{2-a}y''+x^{1-a}(2+x^3)y'+4x^{3-a}y \right ]=0 \ $$ Where $$ x^a \ $$ is the integrating factor $$ h(x,y)=x^my^n\ $$ and $$ \left [ x^{2-a}y''+x^{1-a}(2+x^3)y'+4x^{3-a}y \right ]=0 \ $$ is L2_ODE_VC, not necessarily exact "$$ a \ $$" can be any number, $$ a=1, \frac{3}{2},5... \ $$