In order to achieve the educational goal of "Building Morality and cultivating people", the paper analyzes the feasibility of integrating ideological and political education into differential equation teaching, and holds that the general and special solutions of differential equation have the advantages of integration with scientific socialism and socialism with Chinese characteristics. With the special solution of differential equation and the explanation of mathematical knowledge prototype of general solution, the ideological and political elements of the general solution of differential equation and special solution course are excavated from the ideological perspective, so as to stimulate and improve the political correctness of students and strengthen the confidence of socialism with Chinese characteristics. In the new era, college mathematics teachers should cultivate students' rational thinking, guide students to establish correct values and form excellent humanistic quality by constantly mining the spirit of mathematics.