Re: changing variable in an equation
- To: mathgroup at smc.vnet.net
- Subject: [mg116410] Re: changing variable in an equation
- From: Albert Retey <awnl at gmx-topmail.de>
- Date: Sun, 13 Feb 2011 05:51:16 -0500 (EST)
- References: <201102110917.EAA07980@smc.vnet.net> <201102121020.FAA20150@smc.vnet.net> <ij83dr$n1$1@smc.vnet.net>
Hi,
> Those that have responded have requested further information. I hope this
> will help.
>
...
> What I tried to do was to just plot his solution which is V(t)= Vsubnl + (V0
> - Vsubnl)times e to the -gsubL * t divided by c. What I did was make up
> different equations such as vt1 = -67+(0-(-67))*e^-19t/c and substitute
> values for t. And then make another equation with a different V0 and do the
> same thing. Then finally combine them using Plot{{vt1,vt2 and so on},
> {t,0,5}].
>
> These results mimic his plots so I am on the right track. It's just that my
> way takes an enormous amount of time. I know that there must be a better
> way to do this with Mathematica. That's the whole point of my request for
> help.
I'm not sure whether I got what you want and don't have the book to
check, but I think the following should be a starting point to achieve
what you probably want:
sol = VsubnL + (V0 - VsubnL)*E^(-gsubL*t/c)
parameters = {c -> 10, gsubL -> 19, VsubnL -> -67}
Plot[Evaluate[Table[sol /. parameters, {V0, 0, 100, 20}]], {t, 0,
5}, Frame -> True, Axes -> False, PlotRange -> All,
ImageSize -> 500]
hth,
albert
- References:
- changing variable in an equation
- From: "J and B" <noslowski@comcast.net>
- Re: changing variable in an equation
- From: DrMajorBob <btreat1@austin.rr.com>
- changing variable in an equation