Integrable Conditions and the Application of a Kind of First-order Nonlinear Differential Equation

Integrability conditions and general solution formulas in parameter form are given for the First Order Generalized Ordinary Differential Equation,and the equation is expressed as follows:
dy/dx-λ'y/λ=qΦ(λ,y)
Some classical integrable types of first order differential equation are pointed as particular cases of these results,and some modern integrable outcomes of the well-known Abel equation and Riccati equation are especially their specific examples.