求解高阶常系数线性微分方程的直接积分法

Direct Integral Method to Determine Solution of High order Linear Differential Equation with Constant Coefficients

给出高阶常系数线性微分方程的直接积分公式。此方法不同于一般教科书上的传统方法 ,如特征方程法、待定系数法 ,也不同于算子法 ,而是利用直接积分公式可直接得到非齐次方程的通解 ,利用直接积分法确定齐次通解 。

The direct integral formula of high order linear differential equation with constant coefficients is given. It is different from traditional methods and defferential operator method. General solution of non homogeneous equation is given by use of the direct integral formula. The method to determine homogeneous general solution is look on theoretical basis of speciticity equation's method.