2012•College MathematicsRequires access
The Method of Order Reducing for the General Solution of Order n Non-homogeneous Linear Differential Equation with Constant Coefficients
Su Nong
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Abstract
We present integrating factor method of first-order linear differential equation,which is the avoidance of the inconvenient and unnatural methods of variation of constant.Give the method of order reducing for the general solution of order n non-homogeneous linear differential equation with constant coefficients,which implies that,to find solution of high order non-homogeneous linear differential equation with constant coefficients are at last to solve first-order linear differential equation,and is avoid the complicated of the method of undetermined coefficient.Lastly,we explain why there are only two common kinds of non-homogeneous linear differential equations with constant coefficients by the method of undetermined coefficients.