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1-Visitor
May 20, 2014
Question

Not getting multiple solutions

  • May 20, 2014
  • 1 reply
  • 4660 views

Hi there.

I'm trying to find the time, where the my function reaches its maximum value. But due to a local minimum in the beginning, mathcad is only giving me this value.
How can I get mathcad to give me the other value as well? I've tried defining t to be after the minimum, but it just gives me a lot of the same, first, value.

I really hope somebody in here, is a bit smarter than I! 🙂


Have a great day,
Ben

1 reply

19-Tanzanite
May 20, 2014

Your function is an exponential that rises to an asymptotic value (its maximum) at infinite time. Set an upper threshold, say 4.99V, and solve for when your function is equal to the threshold.

1-Visitor
May 21, 2014

Hi!

If I do this, it still only plots one solution (somewhere in the negative axis) - even If i define t as 0->1, I can't get it to do this.:-(

25-Diamond I
May 21, 2014

What Richard suggested is that you solve y(t)=4.99 (or whatever threshold may seem appropriate for your task) for t, The derivative will not be zero at that point. It never will be zero but at the value of t you already got. The absolute maximum (which is exactly 5) you are going for is reached at t=infinity - thats the nature of that kind of asymptotic behaviour.