Maximtopsecret said:
Maximtopsecret said:
Thank You!Ray Vickson said:
IDK about the Wiki article you read, 'cuz you didn't provide a link.Maximtopsecret said:
Ok, so if we have some g(t) and f(t) in the right part of the eq., then it is inhomogenous, right?SteamKing said:IDK about the Wiki article you read, 'cuz you didn't provide a link.
There is one characteristic about a homogeneous equation, which can be determined by merely glancing at it, however.
Yep.Maximtopsecret said:
The purpose of classifying equations is to organize them into different categories based on their properties and characteristics. This makes it easier to identify patterns and relationships between equations, and to apply appropriate methods and techniques for solving them.
The main types of equations are linear, quadratic, polynomial, exponential, logarithmic, and trigonometric. These types can be further divided into subcategories based on their specific properties and features.
The type of an equation can be determined by looking at its highest exponent. For example, an equation with a highest exponent of 1 is linear, while an equation with a highest exponent of 2 is quadratic. Other properties, such as the presence of certain terms or functions, can also help identify the type of an equation.
A linear equation is a type of equation with a constant rate of change, meaning that there is a consistent increase or decrease in the dependent variable for every change in the independent variable. It has a maximum of one solution and can be represented by a straight line on a graph.
The classification of equations is useful in various fields such as physics, engineering, and economics. It allows us to model and solve real-world problems by identifying the appropriate type of equation and using specific methods to solve it. It also helps us understand the behavior and relationships of different variables in a system.