Calculating Time Constant of y(t) with Maths Equation

Click For Summary

Discussion Overview

The discussion revolves around finding the time constant from the mathematical expression y(t) = e^(-t) + e^(-t), with a focus on systems equations. Participants are attempting to clarify the equation and explore the implications for the time constant.

Discussion Character

  • Homework-related

Main Points Raised

  • One participant questions whether there is a typo in the equation, suggesting it might be y(t) = 2e^(-t).
  • Another participant presents an alternative expression, e^(-t) + e^(t), which may indicate confusion or a different approach.
  • There is uncertainty regarding the values of t, with one participant suggesting t could be -1 or 1, and questioning the relationship to e^(1).
  • A request is made for a more complete restatement of the question and for the work done so far towards a solution.

Areas of Agreement / Disagreement

Participants do not appear to reach a consensus, as there are competing interpretations of the original equation and its implications for the time constant.

Contextual Notes

There are unresolved aspects regarding the correct formulation of the equation and the assumptions about the time constant. The discussion lacks clarity on the definitions and context of the variables involved.

DrMath
Messages
28
Reaction score
0

Homework Statement




Given y(t) = e^(-t) + e^(-t)

How can we find the time constant from maths eqn (systems eqn to be exact)?

Homework Equations





The Attempt at a Solution



t=-1 or 1??

always relate to e^(1)??
 
Physics news on Phys.org
DrMath said:

Homework Statement




Given y(t) = e^(-t) + e^(-t)

How can we find the time constant from maths eqn (systems eqn to be exact)?

Homework Equations





The Attempt at a Solution



t=-1 or 1??

always relate to e^(1)??

Is there a typo in your first equation? y(t) = e^(-t) + e^(-t) = 2e^(-t) ?
 
e^(-t) + e^(t)
 
DrMath said:
e^(-t) + e^(t)

That's extremely helpful. Could you please now re-state the question in full? And show your work so far towards a solution?
 

Similar threads

Solving a System of 2 ODES with Interval conditions
  • · Replies 1 ·
Replies
1
Views
2K
Engineering Finding Time Constant T Without L for an LR Circuit
  • · Replies 2 ·
Replies
2
Views
2K
What is the Damping Constant and Time Function in the Equation v(t)= 8ε^-106t?
  • · Replies 1 ·
Replies
1
Views
2K
Time domain equation for RC circuit with AC input
  • · Replies 4 ·
Replies
4
Views
2K
Time Variant System: y(t) = x(-t)
  • · Replies 6 ·
Replies
6
Views
2K
Engineering How do I find the differential equation for this circuit?
  • · Replies 28 ·
Replies
28
Views
4K
Engineering What is the Time Constant for an RLC Circuit?
  • · Replies 9 ·
Replies
9
Views
12K
Engineering Intro to Power Systems: Calculating Power
  • · Replies 7 ·
Replies
7
Views
2K
Comp Sci Linear regression doubling time
  • · Replies 2 ·
Replies
2
Views
2K
Undergrad Instantaneous electric field solved by extended electrodynamics?
  • · Replies 1 ·
Replies
1
Views
1K