Discussion about math, puzzles, games and fun. Useful symbols: ÷ × ½ √ ∞ ≠ ≤ ≥ ≈ ⇒ ± ∈ Δ θ ∴ ∑ ∫ • π ƒ ¹ ² ³ °
 

You are not logged in. #1 20130112 21:06:44
Wronksian determinant in 2nd order linear DEHi guys, 30+2=28 (Mom's identity) #2 20130112 23:35:41
Re: Wronksian determinant in 2nd order linear DEYes, if you can show that for some then for all . #3 20130113 01:06:52
Re: Wronksian determinant in 2nd order linear DEOf course but what i meant was: can I avoid to include W(t0)!=0 for some t0 in my hypotesis? In other words, if I have two linearly independent solutions u and v, can I automatically say W(u,v)!=0 for all t? 30+2=28 (Mom's identity) #4 20130113 01:39:21
Re: Wronksian determinant in 2nd order linear DEI see. Well, if are differentiable, then linear independence implies for all . If they are not both differentiable, then it is possible that they are linearly independent yet . See http://en.wikipedia.org/wiki/Wronskian# … dependence for an example. 