Introduction to equation:

An equation refers to an equation containing unknowns. It is an equation that represents the equal relationship between two mathematical expressions (such as two numbers, functions, quantities and operations), and the value of the unknown quantity that makes the equation hold is called "solution" or "root". The process of solving an equation is called solving an equation.

By solving the equation, we can avoid the difficulty of reverse thinking and directly list the equations with the quantity to be solved. There are many forms of equations, such as one-dimensional linear equation, two-dimensional linear equation, one-dimensional quadratic equation and so on. , can also be combined into equations to solve multiple unknowns.

In mathematics, an equation is a statement containing one or more variables. Solving an equation involves determining which variables have values that make the equation valid. Variables are also called unknowns, and the value of the unknowns satisfying the equation is called the solution of the equation.

Introduction to differential equations;

Differential equation refers to the equation that describes the relationship between the derivative of unknown function and independent variables. The solution of the differential equation is a function that conforms to the equation. In the algebraic equation of elementary mathematics, the solution is a constant value. See differential equation for details.

Differential equations are mathematical equations that relate some functions to their derivatives. In application, functions usually represent physical quantities, derivatives represent their rate of change, and equations define the relationship between them. Because this relationship is very common, differential equations play a prominent role in many disciplines including engineering, physics, economics and biology.

In pure mathematics, differential equation is studied from several different angles, mainly involving its solution-the set of functions satisfying the equation. Only the simplest differential equation can be solved by explicit formula; However, some properties of the solution of a given differential equation can be determined without finding its exact form.

If there is no complete formula for the solution, a computer numerical approximation can be used. Dynamic system theory emphasizes the qualitative analysis of systems described by differential equations, and many numerical methods have been developed to determine solutions with given accuracy.