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

Page 25-2

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

${\displaystyle x^{a}\left[x^{2-a}y''+x^{1-a}(2+x^{3})y'+4x^{3-a}y\right]=0\ }$

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

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

References