In this paper,function P(x)=1A+Bx+C is the approximation solution of the ordinary differential equation dydx=f(x,y),y(x0)=y0. With the integral applied,a new numerical method of ordinary differential equation is proposed.It is a stable explicit one-step method for soving ordinary differential equation.The most impotant thing is that it is stable when the method is applied to the test eqution dydx=λy, y(0)=y0(λ<0).The numerical experiments show that the method is effective.
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