In the chapter 2, we find the separation of variables solutions for nonlinear reaction diffusion equation (2.4) by utilizing the group foliation method.
在第二章中我们主要利用群分支法来求解非线性扩散方程(2.4)的分离变量解。
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、膜分离工艺研究结果和工程实践经验，提出了多元一次方程求解法。
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了在混合边界条件下的非齐次分数阶扩散-波动方程的解析解。
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，导出了用极坐标系描述的中厚板自由振动板的微分方程，用分离变量法求得其一般解。
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，采用分离变量法和特征函数展开法在相应的边界条件下求出级数解。
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，采用分离变量法和特征函数展开法在相应的边界条件下求出级数解。
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