导出的非线性微分方程存在解析积分，从而得出转体运动的一般规律，计算结果与数值积分结果相一致。
The general characteristics of the turning motion are obtained, and the results of the analytic calculation agree with those of numerical integration.
绝大多数非线性微分方程是不能用解析方法求解的。
The overwhelming majority of nonlinear differential equations are not soluble analytically.
数量和空间在解析几何，微分几何和代数几何中都发挥作用。
Quantity and space both play a role in analytic geometry, differential geometry, and algebraic geometry.
应用推荐