φ(x^n±y^m)型积分因子的存在性与应用

Existence Theorem and Application of Integrating Factor With the Form of φ(x^n+y^m)

给出微分方程M(x,y)dx+N(x,y)dy=0具有φ(xn±ym)积分因子的判别法,并举例说明如何运用所给出的方法解决实际问题·

The diagnostic method for the existence of integrating factor with the form of φ(x^n+y^m). Some applications of the method are given.