1. Advanced Mathematics: Differential equation is an important branch of advanced mathematics, so it is necessary to master the basic concepts and methods of advanced mathematics such as limit, derivative, integral and series.
2. Linear Algebra: Some concepts and methods in differential equations are direct applications of linear algebra, such as matrix, vector and linear transformation.
3. Analytic geometry: Differential equations are closely related to analytic geometry, and many differential equations can be solved by analytic geometry.
4. Ordinary differential equation: Ordinary differential equation is a special form of differential equation. Before learning differential equations, you need to master the basic concepts and solutions of ordinary differential equations.
5. Partial differential equation: Partial differential equation is another common form of differential equation. Learning partial differential equations requires mastering the concept and calculation method of partial derivatives.
6. Real number theory: Real number theory is the basis of differential equations, and it is necessary to understand the basic concepts such as the nature, completeness and continuity of real numbers.
7. Function theory: Function theory is a discipline that studies the nature of functions. Learning differential equations needs to master the continuity, differentiability and monotonicity of functions.
8. Complex number theory: Complex number theory is a discipline that studies the nature of complex numbers. Learning differential equations requires mastering the basic concepts of complex number operation, complex number of yoke and complex number sequence.
9. Numerical analysis: Numerical analysis is the study of solving mathematical problems by numerical methods. Learning differential equations requires mastering the basic ideas and methods of numerical solution.
10. Probability theory and mathematical statistics: Probability theory and mathematical statistics are a subject that studies random phenomena. Learning differential equations requires understanding the basic concepts and methods of probability theory and mathematical statistics.