# S.O.S. Mathematics CyberBoard

Your Resource for mathematics help on the web!
 It is currently Thu, 23 May 2013 22:18:01 UTC

 All times are UTC [ DST ]

 Page 1 of 1 [ 3 posts ]
 Print view Previous topic | Next topic
Author Message
 Post subject: short questionPosted: Thu, 10 May 2012 00:33:43 UTC
 Member

Joined: Thu, 26 Jul 2007 19:08:57 UTC
Posts: 48
Hi
Given a system of two equations:

It is required to show that we can parametrize x,z in terms of y up to third order as:

Thanks

Top

 Post subject: Re: short questionPosted: Thu, 10 May 2012 04:04:20 UTC
 Moderator

Joined: Mon, 29 Dec 2008 17:49:32 UTC
Posts: 6008
Location: 127.0.0.1, ::1 (avatar courtesy of UDN)
M.A wrote:
Hi
Given a system of two equations:

It is required to show that we can parametrize x,z in terms of y up to third order as:

Thanks

Note that elimininating gives

which gives you other possibilities.

First check that y is a local coordinate near (exercise). So, expanding near y=0, gives

So equating coefficients, ....

_________________

Top

 Post subject: Re: short questionPosted: Mon, 14 May 2012 01:06:27 UTC
 Member

Joined: Thu, 26 Jul 2007 19:08:57 UTC
Posts: 48
thanks alot

Top

 Display posts from previous: All posts1 day7 days2 weeks1 month3 months6 months1 year Sort by AuthorPost timeSubject AscendingDescending
 Page 1 of 1 [ 3 posts ]

 All times are UTC [ DST ]

#### Who is online

Users browsing this forum: No registered users

 You cannot post new topics in this forumYou cannot reply to topics in this forumYou cannot edit your posts in this forumYou cannot delete your posts in this forum

Search for:
 Jump to:  Select a forum ------------------ High School and College Mathematics    Algebra    Geometry and Trigonometry    Calculus    Matrix Algebra    Differential Equations    Probability and Statistics    Proposed Problems Applications    Physics, Chemistry, Engineering, etc.    Computer Science    Math for Business and Economics Advanced Mathematics    Foundations    Algebra and Number Theory    Analysis and Topology    Applied Mathematics    Other Topics in Advanced Mathematics Other Topics    Administrator Announcements    Comments and Suggestions for S.O.S. Math    Posting Math Formulas with LaTeX    Miscellaneous