Systems of Non Linear Equations

In summary, the speaker is searching for a real-world engineering or science problem that requires the solution of three nonlinear simultaneous equations and coding it into Matlab. They mention their struggle in finding a suitable problem and ask for suggestions. The conversation then mentions determining a ship's position using LORAN, which involves solving two quadratic equations.
  • #1
jughead4466
6
0
Hey guys,

For my assignment, I have choose any engineering or science problem which requires the solution of at least three nonlinear simultaneous equations, and code it into Matlab.

The problem is that I cannot find a simple real world problem that needs a nonlinear system of equations.

Do you guys have any ideas?

Thanks
 
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  • #2
Determining a ship's postion using LORAN (google on that) involves finding the intersection of two hyperbolas and so solving two quadratic equations.
 
  • #3
Finding a ship's position using LORAN (google on that) involves finding the point of intersection of two hyperbolas and so solving two quadratic equations.
 

FAQ: Systems of Non Linear Equations

What are systems of non linear equations?

Systems of non linear equations are a set of equations that involve variables raised to powers other than 1 and have multiple equations. These equations cannot be solved using basic algebraic methods and require more advanced techniques.

How are systems of non linear equations solved?

There are a few methods for solving systems of non linear equations, such as substitution, elimination, and graphing. These methods involve manipulating the equations to eliminate variables and find the values of the remaining variables.

What is the difference between linear and non linear equations?

Linear equations have a constant rate of change and their graph is a straight line, while non linear equations have a varying rate of change and their graph is a curve. Non linear equations also involve variables raised to powers other than 1.

Why are systems of non linear equations important?

Systems of non linear equations are important in many fields, such as physics, engineering, and economics. They allow for more accurate and realistic modeling of real-life situations where the relationships between variables are not always linear.

What are some real-world applications of systems of non linear equations?

Systems of non linear equations can be used to model complex systems, such as population growth, chemical reactions, and economic trends. They are also used in optimization problems, such as finding the maximum or minimum value of a function.

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