Is it possible to solve an equation containing an infinite expression?

Questions
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1

Dear All,

May I ask you? If I have an equation as follows:

y[t_]:= x[t] Exp[x[t]]

where x = 1/z and z varies from 0 to a certain number. Thus, some values of x contains “Complex Infinity” when z = 0.
Thus, when I tried to solve the above equation, I got error messages i.e. "Infinity::indet: “Indeterminate expression E^ComplexInfinity encountered.”

Then, may I know if basically it is possible to solve an equation contains complex infinity? If yes, may I know what kind of command need to be add on to deal with that matter? Thanks in advance for your help.

Best Regards, Intan

2

What was the equation you tried to solve? What was the code used that gave that warning message?

Absent crucial details such as these, the best answer I can give is “maybe”.

3

Dear Daniel,

Thanks for your response. Unfortunately I do not have the exact equation yet. I need to create that equation by myself by considering several parameters, i.e. 1 response variable with several explanatory variables.

So in my example of above equation, y is the response variable and I just put 1 explanatory variable i.e. x. However, later on I may have to modify it, so I am still doing trial and error to consider what parameters to be considered.

However, what I want to know is whether it is possible or not for solving an equation that contains Complex Infinity. The equation is a function of time, and at certain times, I have these Complex Infinity values. So if theoretically it is not possible for solving an equation contains Complex Infinity, then I will consider to change the explanatory variables themselves.

So please kindly let me know if you have further comments on this matter. Thanks for your attention.

Best Regards,
Intan

4

Yes, it is possible. As soon as you have an equation we might be in the position to help you further. Have fun!