Exact Analytic Method for Solving Variable Coefficient Differential Equation

Many engineering problems can be reduced to the solution of a variable coefficient differential equation.In this paper,the exact analytic method is suggested to solve variable coefficient differential equations under arbitrary boundary condition.By this method,the general computation formal is obtained.Its convergence in proved.We can get analytic expressions which converge to exact solution and its higher order derivatives uniformy Four numerical examples are given,which indicate that satisfactory results can he obtaned by this method.