Need system of linear differential equation physics application

Thread starter Matt Jacques
Start date Apr 25, 2004
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Application Differential Differential equation Linear Physics System

In summary, a system of linear differential equations is a set of equations used to describe relationships between variables over time. They are commonly used in physics to model rates of change and solve problems related to physical phenomena. A "need system" is the set of initial conditions needed to solve these equations. Real-world examples include equations for simple harmonic motion and radioactive decay. The benefits of using these equations in physics include a mathematical representation of complex systems and the ability to use mathematical methods to solve problems.

Apr 25, 2004

Matt Jacques

Any thoughts besides dual spring or electrical systems?

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Apr 27, 2004

chroot

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How about every problem ever solved in quantum mechanics?

- Warren

Apr 28, 2004

Matt Jacques

Anyone know any applications on planetary motion or systems of attracting bodies?

Apr 28, 2004

cookiemonster

How about the 3-body problem?

cookiemonster

Apr 28, 2004

Integral

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Any problem solved in 3 or more dimensions.

Apr 29, 2004

Matt Jacques

Linkage or more examples?

1. What is a system of linear differential equations?

A system of linear differential equations is a set of equations that describe the relationships between multiple variables over time. These equations are linear, meaning that they involve only first-order derivatives of the variables and can be written in the form of y' = ay + bx + c, where a, b, and c are constants.

2. How are linear differential equations used in physics applications?

Linear differential equations are often used in physics to model the behavior of systems that involve rates of change, such as the motion of objects or the flow of fluids. They can also be used to solve problems related to electricity, magnetism, and other physical phenomena.

3. What is the purpose of a need system in linear differential equations?

A "need system" refers to the set of initial conditions that are necessary to solve a system of linear differential equations. These initial conditions provide the starting values for the variables in the system, allowing for the equations to be solved and the behavior of the system to be predicted over time.

4. What are some real-world examples of linear differential equations used in physics?

Some common examples of linear differential equations used in physics include the equations of motion for simple harmonic motion, the equations for the displacement of a damped oscillator, and the equations for the rate of decay of a radioactive substance.

5. What are the benefits of using a system of linear differential equations in physics applications?

Using a system of linear differential equations allows for a mathematical representation of complex physical systems, making it easier to analyze and predict their behavior. It also allows for the use of mathematical methods, such as integration and differentiation, to solve problems and make calculations.