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Re: changing variable in an equation


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


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