Need to split function into terms and then plot

*To*: mathgroup at smc.vnet.net*Subject*: [mg131901] Need to split function into terms and then plot*From*: Honza Vorel <honzavorel at gmail.com>*Date*: Mon, 28 Oct 2013 23:22:35 -0400 (EDT)*Delivered-to*: l-mathgroup@mail-archive0.wolfram.com*Delivered-to*: l-mathgroup@wolfram.com*Delivered-to*: mathgroup-outx@smc.vnet.net*Delivered-to*: mathgroup-newsendx@smc.vnet.net

I am a newbie and need help please. I hope I can express myself clearly enough, so you can understand me. #I have a function: u[x_]:=c0+c1 * x +c2 * x^2 #And I am interested in these three points 0,le/2 and le (length) points={0,le/2,le} #When I map the above together c=Map[u,points] #I'll get c0, c0+c1*le/2+c2*le^2/4, c0+c1*le + c2 * le^2 #define my deflection vector r={u1,u2,u3} #Solve for c0,c1,c2 c=Solve[c==r,{c0,c1,c2}] #I'll get c0->u1, c1->(3u1-4u2+u3)/le and c2-> 2(u1-2u2+u3)/le^2 #replace c into u[x_] u[x]/.c # separate by variable u1,u2,u3 Collect[%,{u1,u2,u3}] #I'll get {u1(1+2x^2/le^2-3x/le)+u3(2x^2/le^2-x/le)+u2(-4x^2/le^2+4x/le)} #Now I need to separate the above like this (le=1.5): # n1=(1+2x^2/le^2-3x/le) # n2=(-4x^2/le^2+4x/le) # n3=(2x^2/le^2-x/le) # And I don't know how. # So I can plot it: Plot[{n1,n2,n3},{x,0,1}] # Thanks for your help. Honza

**Follow-Ups**:**Re: Need to split function into terms and then plot***From:*Bob Hanlon <hanlonr357@gmail.com>

**Re: Need to split function into terms and then plot***From:*W Craig Carter <ccarter@MIT.EDU>