Student Support Forum: 'Varying Parameters with a Diff Eq.' topicStudent Support Forum > General > "Varying Parameters with a Diff Eq."

 Next Comment > Help | Reply To Topic
 Author Comment/Response William Duhe 05/31/12 11:06am I want to vary parameters in this differential equation. M = 10000; g = 1; \[Alpha] = 1; A = 10; a = .01;(*initial plot temp*) b = 1.2; (*final plot temp*) c = 0.00000001; (*initial temp*) d = 0; (*initial \[Beta]*) m = 1; bb = (g/(2*\[Pi])^(3/2)*(m/T)^(3/2)*E^(-m/T)); s = NDSolve[{\[Beta]'[T] == (3*\[Alpha]^2*M*T^(5/2))/( Sqrt[2*g]*m^(9/2))*(bb^2 - \[Beta][T]^2), \[Beta][c] == d}, \[Beta], {T, a, b}, Method -> "BDF"]; Plot[{(Evaluate[\[Beta][T] /. s])/bb}, {T, a, b}, PlotRange -> Automatic] Notice that what I am actually evaluating is the ratio of the differential equation to bb. I would like to track the changes in this ratio as I vary M from 1-10000. How would I do this? I will attach a copy of the work I have tried so far using the Table syntax. Attachment: Cosmology_Plots_3.nb, URL: ,

 Subject (listing for 'Varying Parameters with a Diff Eq.') Author Date Posted Varying Parameters with a Diff Eq. William Duhe 05/31/12 11:06am Re: Varying Parameters with a Diff Eq. Michael 06/01/12 08:04am Re: Re: Varying Parameters with a Diff Eq. William Duhe 06/06/12 11:21am Re: Varying Parameters with a Diff Eq. Bill Simpson 06/01/12 12:10pm Re: Varying Parameters with a Diff Eq. Bill Simpson 06/01/12 12:26pm
 Next Comment > Help | Reply To Topic