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

  • Context: High School 
  • Thread starter Thread starter SSGD
  • Start date Start date
  • Tags Tags
    Period System
Click For Summary

Discussion Overview

The discussion revolves around determining the period of a system defined by the equations x=Asin(ct) and y=Bsin(dt). Participants explore the nature of the problem, whether it is homework-related, and the specifics of finding a common period for both equations.

Discussion Character

  • Debate/contested
  • Homework-related
  • Mathematical reasoning

Main Points Raised

  • One participant expresses difficulty in finding resources on solving for the period of the given equations.
  • Another participant suggests that the question might be more appropriate for the homework section, implying it resembles a standard textbook problem.
  • A participant clarifies that each equation has its own period, but they are looking for a time Ts where both equations simultaneously repeat.
  • There is a suggestion that the smallest common multiple of the periods could be relevant if it exists, otherwise, no such period would be found.
  • A later reply emphasizes the need for different symbols for the periods of each equation to avoid confusion.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the nature of the problem, with some viewing it as homework-like while others assert it is not. The discussion remains unresolved regarding the specifics of finding a common period.

Contextual Notes

There are limitations regarding the clarity of the problem statement and the definitions of the periods involved, which may affect the discussion.

SSGD
Messages
49
Reaction score
4
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.
 
Physics news on Phys.org
Try posting a specific question in the homework section.
 
It's not homework. And the above equations are the specific problem.
 
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.
 
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.
 
SSGD said:
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.
 

Similar threads

High School Solving PDEs via FEM: A Gut Check of the Procedure
  • · Replies 0 ·
Replies
0
Views
3K
High School Incorporating boundary conditions in the Finite Element Method (FEM)
  • · Replies 4 ·
Replies
4
Views
4K
Undergrad Solving a System of Differential Equations: dx/dt = y^2 - x^2, dy/dt = -2xy
  • · Replies 8 ·
Replies
8
Views
3K
Can this system of inequalities be solved for x?
  • · Replies 5 ·
Replies
5
Views
2K
Period of Motion from Equations of Motion
  • · Replies 10 ·
Replies
10
Views
2K
MHB How to Solve the Lotka-Volterra System of Differential Equations?
  • · Replies 18 ·
Replies
18
Views
7K
High School Attempt to solve this system of three linear equations
  • · Replies 10 ·
Replies
10
Views
3K
Graduate Existence of divergent solutions to system of ODEs
  • · Replies 5 ·
Replies
5
Views
3K
High School Solving for the Nth divergence in any coordinate system
  • · Replies 41 ·
2
Replies
41
Views
5K
Undergrad Solving Systems of Linear Differential Equations
  • · Replies 2 ·
Replies
2
Views
7K