A second_order nonlinear ordinary differential equation that describes the radial motion of the inner surface of the shell was obtained. And the first integral of the equation was then carried out.
得到了描述球壳内表面运动的二阶非线性常微分方程，并给出了方程的首次积分。
Ordinary linear differential equation with its solution is an approximate method to describe dynamic laws of nature, Strickly speaking, most laws of nature is nonlinear.
自然界的运动规律常常用线性微分方程来描述，但进行深入的考虑，更多的运动规律是非线性的。
The qualitative theory of ordinary differential equations and numerical simulation method are employed to investigate the kink waves of a nonlinear quartic equation.
用微分方程定性理论结合数值模拟方法研究了一类非线性四阶波动方程的纽结波。
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