Solution Seeking Formula of New Second Order Non-Linear Differential Eguation

In this paper, one kind of new secand order non-linear differential equation is given. And then, the concept of chaxacteristic equation is introduced, a practical, integral, sufficient criterion and the integral expression of the general solution for this equation is given. Particularly the solution seeking formula of the two kind new second order variable coefficient linear differential equation are deduced. The conclusions drawn expands the scope of solutions to differential equations.