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Separation of variables for ordinary differential equations
Linköping University, Department of Mathematics.
2006 (English)Independent thesis Basic level (professional degree), 20 points / 30 hpStudent thesis
Abstract [en]

In case of the PDE's the concept of solving by separation of variables

has a well defined meaning. One seeks a solution in a form of a

product or sum and tries to build the general solution out of these

particular solutions. There are also known systems of second order

ODE's describing potential motions and certain rigid bodies that are

considered to be separable. However, in those cases, the concept of

separation of variables is more elusive; no general definition is


In this thesis we study how these systems of equations separate and find that their separation usually can be reduced to sequential separation of single first order ODE´s. However, it appears that other mechanisms of separability are possible.

Place, publisher, year, edition, pages
Matematiska institutionen , 2006. , 41 p.
Keyword [en]
ODE, Separation of variables, Potential motion, Heavy symmetric top, Cofactor systems, Direct separability.
National Category
Computational Mathematics
URN: urn:nbn:se:liu:diva-5620ISRN: LiTH-MAT-EX--06/01--SEOAI: diva2:21406
Available from: 2006-03-02 Created: 2006-03-02

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