...变量分离方程；齐次方程；一阶线性方程；伯努利方程；里卡蒂方程；全微分方程；积分因子；一阶隐式方程 [gap=1521]Key word: Variable separation equation; Homogeneous; linear differential equation; Bernoulli's equation; Recite equat..
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研究了一类可变量分离方程的求解方法，并给出了在满足一定条件下求解这类方程更简单的方法。
In this paper, the solution for a kind of variables separated first-order ODE is studied, and a simple method under some conditions is given.
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。
In the chapter 2, we find the separation of variables solutions for nonlinear reaction diffusion equation (2.4) by utilizing the group foliation method.
研究(1 + 1)维广义的浅水波方程的变量分离解和孤子激发模式。
In this paper, variable separation solution and soliton excitations of the (1 + 1) -dimensional generalised shallow water wave equation are obtained.
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