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• In the chapter 2, we find the separation of variables solutions for nonlinear reaction diffusion equation (2.4) by utilizing the group foliation method.

第二我们主要利用分支来求解非线性扩散方程(2.4)分离变量

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• We derive the analytic solution of the non-homogeneous fractional diffusion-wave equation under the mixed boundary conditions using the method of separation of variables.

利用分离变量方法导出混合边界条件下非齐次分数扩散-波动方程解析

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• By using separation of variables and double Fourier series, we obtain a solution to the initial-boundary value problem of the forced vibration of this rectangular membrane.

利用分离变量法二重傅里叶级数方法得到了矩形膜振动问题的解。

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• The Schrdinger equation is given directly from the classical Hamiltonian function of a damping harmonic oscillator, and its solution is obtained by the separation of variables.

写出阻尼谐振哈密函数直接量子化，分离变量得出了薛定方程

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• Separation of variables is employed to solve the differential equation under the boundary condition of two ends of the girder being simply supported, and the solution of stress is…

两端边界条件采用分离变量求解微分方程，得到用级数表示的应力然后根据剪力滞系数的定义即可得到组合箱梁翼板的剪力滞系数。

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• Secondly, the method of separation of variables and the eigensolution expansion method are used to obtain the analytical solutions of thick plates under corresponding boundary conditions.

然后采用分离变量特征函数展开法在相应边界条件下级数解。

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• Firstly, the expressions of free vibration of moderately thick plates in polar coordinates are derived and the general solutions are obtained by the means of method of separation of variables.

首先导出了坐标系描述自由振动板的微分方程，用分离变量求得一般

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• The Green's functions for electric and magnetic vector potentials in a sectoral wave guide and its cavity are derivated by using the separation of variables, Fourier transform and residue theory.

文中介绍了扇面直波导及其中电矢量矢量位的格林函数采用分离变量法傅里叶变换法和留数定理导出格林函数的具体表达式。

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• The temperature field around a straight buried pipe was analyzed using conformal mapping, separation of variables and boundary discretization. A series solution was obtained for the temperature field.

为了管道保温层及其土壤邻域的温度进行较精确的分析，采用映射分离变量边界离散法对地下直埋管道的温度场进行分析，得到级数形式的

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• By using variables separation in the complex number field, the real analytical solution in the form of Fourier series was obtained.

复数域内利用分离变量法，得到了类方程级数形式解析，而最后的解实数形式

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• The separation on a shaking table is controlled by a number of operating variables and the importance of these variables in the model development is described.

讨论了控制床选别的操作变量这些变量模型研究中的重要性

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• Based on pickling principle, research results of membrane separation process and experience of engineering practice, the author developed a method of solving equations in multiple variables.

作者根据钢铁酸洗原理分离工艺研究结果工程实践经验，提出了多元一次方程求解

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• Based on pickling principle, research results of membrane separation process and experience of engineering practice, the author developed a method of solving equations in multiple variables.

作者根据钢铁酸洗原理分离工艺研究结果工程实践经验，提出了多元一次方程求解

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