【摘要】 微分方程知识具有较强的思想性和方法性,对其思想、方法的理解和掌握是系统掌握微分方程知识,并能融会贯通的前提.而二阶常系数非齐次线性微分方程d2y dx2+p dy dx+qy=P m(x)eαx的特解的形式和解法,对求解其他形式微分方程的特解、乃至差分方程的特解都具有指导意义.从形式和算法两方面对方程d2y dx2+p dy dx+qy=P m(x)eαx的特解进行深入解读,既有思想性又有方法性,是全面理解掌握此种形式方程特解的依据.更多还原

【Abstract】 Differential Equations have a strong ideology and methodology.Understanding and mastering it is the prerequisite of mastery.Order constant coefficient non-homogeneous linear differential equations d2y dx2 + p dy dx + qy = P m(x) eαxparticular solution’s form and solution,has an important guiding significance for solving other forms of differential equations.In this paper,equation particular solution is depth interpretation from forms and algorithms.The ideological and methodological is the basis for fully understanding and grasping this form of equation particular solution.更多还原