Strange "little" problem with scaling

*To*: mathgroup at smc.vnet.net*Subject*: [mg62659] Strange "little" problem with scaling*From*: "Srinath Avadhanula" <srinathava at gmail.com>*Date*: Wed, 30 Nov 2005 00:08:11 -0500 (EST)*Sender*: owner-wri-mathgroup at wolfram.com

Hi all, I have an absurd little problem which unfortunately, I am unable to figure out the solution to... Consider the following very simple notebook: \!\(y1[x_] := \(Sin[x] - x\ Cos[x]\)\/x\^3\[IndentingNewLine] y2[x_] := \(1\/2\) y1[x]\[IndentingNewLine] Plot[{y1[x]}, \ {x, \ 0, \ p}]\[IndentingNewLine] Plot[{y2[x]}, \ {x, \ 0, \ p}]\) The above can be copied/pasted into a new mathematica notebook. If you do not wish to do this, please see a screenshot at: http://robotics.eecs.berkeley.edu/~srinath/mathematica_prob.png Basically, I have defined two functions y1[x] and y2[x] which _should_ ideally only differ by a factor of 2. However, their shapes when I plot them are _completely_ different! I simply do not understand what I am doing wrong. I am pretty sure that this is a syntax issue with the way I am defining the various functions. Thinking a little bit more about this, it looks like neither of the two plots are correct! The correct value of y1[pi] == 1/pi^2 and y2[pi] == 1/2/pi^2. It doesn't look like the plots are anywhere close to this. My Mathematica version: 5.1 Many thanks for any help (I apologize in advance for this silliness) Srinath