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Results tagged with parametric-functions
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user 66106
Questions about explicit functions expressed in terms of independent variables, i.e. parameters. Including approaches for rewriting functions using different parameterizations.
6
votes
2
answers
859
views
Find multiple solutions of a nonlinear ODE
I have a nonlinear ordinary differential equation with two parameters c and R in the form of:
lhs[u[x]; c, R]=0, where R>=0 and
lhs = 2/3 u[x]^3 + 4/75 R u[x]^6 u'[x] + 2/3*u[x]^3 u'''[x] -c u[x] + …
- 823
4
votes
Find multiple solutions of a nonlinear ODE
Thanks to @Boson Bear's answer to his/her own question, I have modified that code. The trial-and-error method loops over a conjectural range of eigenvalue $c$ and a conjectural mid-point value of the …
- 823