A new method for researching differential equations

Using the ZA method proposed for the first time in this paper, it is theoretically possible to obtain general or analytical solutions for an infinite number of ordinary and partial differential equations. These equations can be linear or nonlinear, and the solutions of some of them are gained for the first time. By the general solutions, we have successfully obtained exact solutions to seven definite solution problems and found two singularities. Using the ZA method, we prove that some important equations do not have certain types of solutions.