In this paper, the exact analytic method is suggested to solve variable coefficient differential equations under arbitrary, boundary condition.
本文首次提出精确解析法，用以求解任意变系数微分方程在任意边界条件下的解。
Therefore, the differential equations 'coefficient matrix of the free vibration of the spatial rigid body is automatically formed, and free vibration frequency and its type can also be found out.
最后自动组成空间刚体自由振动微分方程的系数阵，并计算出刚体的自振频率和振型。
It doesn't need the variational principle and can be applied to solve non-positive or positive definite partial differential equations with arbitrary variable coefficient.
该方法不用一般的变分原理，可适用任意变系数正定和非正定偏微分方程。利用这一方法得到一个新的八节点四边形平面应力单元。
By the discretization of spatial variable in the equation, a third-order differential system of equations containing periodic time-varying coefficient is derived.
采用微分求积法对方程中的空间变量进行离散，得到仅含有时间变量的三阶周期系数微分方程组。
The solutions of interal form and the general solutions of some second order homogeneous linear differential equations with variable coefficient are given.
给出了变系数二阶齐次线性常微分方程的一种积分形式解和几类变系数二阶齐线性常微分方程的普遍解。
In this paper, we studied oscillation of the solutions of neutral hyperbolic partial differential equations with nonlinear diffusion coefficient and damped terms.
本文在梁方程的基础上研究了一类具有非线性阻尼项和力源项的四阶波动方程的初边值问题。
We assume that the motion of controlled object is describedby linear ordinary differential equations with variable coefficient, and the final states ofthe system form a convex region of phase space.
受控系统的运动设为变系数线性常微分方程组所描述，而系统的终点状态是相空间内的某一凸性区域。
We assume that the motion of controlled object is describedby linear ordinary differential equations with variable coefficient, and the final states ofthe system form a convex region of phase space.
受控系统的运动设为变系数线性常微分方程组所描述，而系统的终点状态是相空间内的某一凸性区域。
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