变量可分离方程的积分因子研究

The Study of Integrating Factor with Separable Equation in Variable

研究变量可分离方程的积分因子求法,利用将非全微分方程转化为全微分方程的方法,得到变量可分离方程的积分因子,通过积分因子将变量可分离方程转化为全微分方程,为变量可分离方程求解提供了另一种方法.所得结论在常微分方程的求解中具有积极作用.

This paper probes into the method of integrating factor with separable equation in variable. The integrating factor of variable separable equation is obtained via the method to transform non-total differential equation to total differential equation. The variable separable equation is converted into the total differential equation so as to provide another solution of the variable separable equation. The obtained conclusion plays a positive role in the calculation of ordinary differential equation(ODE).