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

Page 25-2

Generate non-exact L2_ODE_VC that can be made exact by intergral factor method:

$x^a[x^{2-a}{y}^{″}+x^{1-a}(2+x^3)y^{\prime }+4x^{3-a}y]=0$

Where $x^a$ is the integrating factor $h(x,y)=x^m{y}^n$ and $[x^{2-a}{y}^{″}+x^{1-a}(2+x^3)y^{\prime }+4x^{3-a}y]=0$ is L2_ODE_VC, not necessarily exact

"$a$" can be any number, $a=1,\frac{3}{2},5...$

References

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