Separation of variables for ordinary differential equations
Independent thesis Basic level (professional degree), 20 points / 30 hpStudent thesis
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.
ODE, Separation of variables, Potential motion, Heavy symmetric top, Cofactor systems, Direct separability.
IdentifiersURN: urn:nbn:se:liu:diva-5620ISRN: LiTH-MAT-EX--06/01--SEOAI: oai:DiVA.org:liu-5620DiVA: diva2:21406