First of all, the description is different:
The vibration equation describes the displacement of a particle from the equilibrium position at any time.
Wave equation describes the displacement of any particle from the equilibrium position at any time.
Second, the meaning of y is different:
The vibration equation y is a function of time t, y=f(t).
Wave equation y is a function of time t and position x y=f(t, x).
Third, the variables are different:
The variable of vibration equation is t, and the variable of wave equation is x and t.
Introduction:
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 finding the solution of the equation is called "solving the 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.