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Re: NDSolve curve - obtain single value from curve at t:=d

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  • Subject: [mg127735] Re: NDSolve curve - obtain single value from curve at t:=d
  • From: design <design at rcn.com>
  • Date: Fri, 17 Aug 2012 03:46:24 -0400 (EDT)
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Peter
Thank you.  I'm fascinated with the approach but still trying to integrate it into the app.  
Joe 


On Wednesday, August 15, 2012 3:34:38 AM UTC-4, Peter Pein wrote:
> Am 14.08.2012 10:23, schrieb design:
> 
> > Customized annuity applet;
> 
> > I need to find the value of sol1 at t =  d;
> 
> > d, age, remaining life, fundrate, (and others) are all sliders;
> 
> > Overall apples is working well
> 
> >
> 
> > d = age + remainingLife;
> 
> > eqn1 = y'[t] == fundRate/100*y[t] - annuityAmt;=E2=80=A8sol1 = y[t]/. NDSolve[{eqn1, y[age] == startValue}, y[t], {t, age, 110}];
> 
> >
> 
> > I have tried the sol1 iteration with {d,d,110} and many other approaches to no avail.
> 
> >
> 
> > Suggestions appreciated!!
> 
> >
> 
> Hi,
> 
> 
> 
> DSolve[{y'[t] == fundRate/100*y[t] - annuityAmt,
> 
>    y[age] == startValue}, y[t], t]
> 
> 
> 
> --> {{y[t] -> (1/fundRate)
> 
>     E^(-((age fundRate)/
> 
>       100)) (100 annuityAmt E^((age fundRate)/100) -
> 
>        100 annuityAmt E^((fundRate t)/100) +
> 
>        E^((fundRate t)/100) fundRate startValue)}}
> 
> 
> 
> doesn't help?
> 
> 
> 
> In simple cases, try the exact solution. Even if the calculation needs a 
> 
> while (not for this differential equation), it's worth it.
> 
> 
> 
> Peter


On Wednesday, August 15, 2012 3:34:38 AM UTC-4, Peter Pein wrote:
> Am 14.08.2012 10:23, schrieb design:
> 
> > Customized annuity applet;
> 
> > I need to find the value of sol1 at t =  d;
> 
> > d, age, remaining life, fundrate, (and others) are all sliders;
> 
> > Overall apples is working well
> 
> >
> 
> > d = age + remainingLife;
> 
> > eqn1 = y'[t] == fundRate/100*y[t] - annuityAmt;=E2=80=A8sol1 = y[t]/. NDSolve[{eqn1, y[age] == startValue}, y[t], {t, age, 110}];
> 
> >
> 
> > I have tried the sol1 iteration with {d,d,110} and many other approaches to no avail.
> 
> >
> 
> > Suggestions appreciated!!
> 
> >
> 
> Hi,
> 
> 
> 
> DSolve[{y'[t] == fundRate/100*y[t] - annuityAmt,
> 
>    y[age] == startValue}, y[t], t]
> 
> 
> 
> --> {{y[t] -> (1/fundRate)
> 
>     E^(-((age fundRate)/
> 
>       100)) (100 annuityAmt E^((age fundRate)/100) -
> 
>        100 annuityAmt E^((fundRate t)/100) +
> 
>        E^((fundRate t)/100) fundRate startValue)}}
> 
> 
> 
> doesn't help?
> 
> 
> 
> In simple cases, try the exact solution. Even if the calculation needs a 
> 
> while (not for this differential equation), it's worth it.
> 
> 
> 
> Peter



On Wednesday, August 15, 2012 3:34:38 AM UTC-4, Peter Pein wrote:
> Am 14.08.2012 10:23, schrieb design:
> 
> > Customized annuity applet;
> 
> > I need to find the value of sol1 at t =  d;
> 
> > d, age, remaining life, fundrate, (and others) are all sliders;
> 
> > Overall apples is working well
> 
> >
> 
> > d = age + remainingLife;
> 
> > eqn1 = y'[t] == fundRate/100*y[t] - annuityAmt;=E2=80=A8sol1 = y[t]/. NDSolve[{eqn1, y[age] == startValue}, y[t], {t, age, 110}];
> 
> >
> 
> > I have tried the sol1 iteration with {d,d,110} and many other approaches to no avail.
> 
> >
> 
> > Suggestions appreciated!!
> 
> >
> 
> Hi,
> 
> 
> 
> DSolve[{y'[t] == fundRate/100*y[t] - annuityAmt,
> 
>    y[age] == startValue}, y[t], t]
> 
> 
> 
> --> {{y[t] -> (1/fundRate)
> 
>     E^(-((age fundRate)/
> 
>       100)) (100 annuityAmt E^((age fundRate)/100) -
> 
>        100 annuityAmt E^((fundRate t)/100) +
> 
>        E^((fundRate t)/100) fundRate startValue)}}
> 
> 
> 
> doesn't help?
> 
> 
> 
> In simple cases, try the exact solution. Even if the calculation needs a 
> 
> while (not for this differential equation), it's worth it.
> 
> 
> 
> Peter




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