How do you indicate transient terms when y just equals 1 ?

In summary, in this conversation, the speaker is trying to figure out how to indicate transient terms when the variable t equals 1. They are told that they have forgotten the constant of integration and that there are other functions that satisfy the equation. The correct solution involves introducing the c term and dividing the e^((e^x^2)/2) function by c when solving for t.
  • #1
Jeff12341234
179
0
how do you "indicate transient terms" when y just equals 1 ?

t is the dependent variable in this problem and I'm told to "indicate transient terms". Well, t=1 so is this a trick question or did I do something wrong?
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  • #2


You seem to have forgotten the "constant of integration". t= 1 is one function satisfying this equation. There are others, involving terms that go to 0 as t goes to infinity.
 
  • #3


ok, so t = 1 + c
or t = 1 + c/μ ?
Because the c term should've actually been introduced on the 2nd to last line. If that's true, that e^((e^x^2)/2) function should've also been divided by c when solving for t.
 
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1. How do you indicate transient terms when y just equals 1?

Transient terms are typically indicated by using the letter "t" as a subscript or superscript. In this case, y just equals 1 would be written as yt=1 or yt=1.

2. Can transient terms also be represented by other letters?

Yes, transient terms can be represented by any letter or symbol. Some common alternatives include "x", "n", or "i". It is important to clearly define which letter represents the transient term in your equation or formula.

3. Are transient terms always represented as a subscript or superscript?

No, transient terms can also be written as a separate variable in an equation. For example, y = y(t) would indicate that y is a function of the transient term t.

4. How do you handle multiple transient terms in an equation?

If there are multiple transient terms in an equation, they can be represented by different letters or subscripts. For example, if an equation has two transient terms, yt=1 and zn=2, they would be treated as separate variables.

5. Are transient terms always time-dependent?

No, transient terms can represent any independent variable that changes over time. They can also represent other factors such as temperature, pressure, or concentration. It is important to clearly define the meaning of the transient term in your specific equation or experiment.

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