Solve x=Asin(ct) and y=Bsin(dt) for the period of the system of two equations

[SSGD]

I have been trying figure out how to solve the the period of the system of the two equations in the system. I have been searching for examples but this specific topic isn't documented on the internet very well or I'm not very good and searching. Any help would be appriciated.

 

[PeroK]

Try posting a specific question in the homework section.

 

[SSGD]

It's not homework. And the above equations are the specific problem.

 

[mfb]

It is homework-like. It is unclear what you mean. Two separate systems with their own period? That is a standard textbook question. Do you look for a common period? Then the smallest common multiple (if existing) will be interesting.

 

[SSGD]

Each equation has its own period. That is not an issue, there is also a sequence of times where both equations simultaneously repeat.

x(t+Tx)=x(t)
y(t+Ty)=y(t)

x(t+Ts)=x(t)
y(t+Ts)=y(t)

I am looks for Ts a time that satisfies both equations simultaneously.
Sorry for the unclear question.

 

[mfb]

I am looks for Ts a time that satisfies both equations simultaneously.

Then you should use different symbols for the periods.

See above: the smallest common multiple (if it exists) will do the job. If it doesn't exist, there is no such period.