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inhomogeneous linear differential equation
相关语句
  非齐次线性微分方程
     Recursion Formulas for Finding the Particular Scutions of Inhomogeneous Linear Differential Equation with Constant Coefficients
     常系数非齐次线性微分方程求特解的递推公式
短句来源
     A Method to Constant Coefficient Inhomogeneous Linear Differential Equation
     常系数非齐次线性微分方程的一种求解方法
短句来源
     A special solution formula for nth-order inhomogeneous linear differential equation
     n阶非齐次线性微分方程的一个特解公式
短句来源
     This paper is about obtaining a special solution formula for nth-order inhomogeneous linear differential equation by making use of the relation between the system of linear differential equation and nth-order linear differential equation.
     利用线性微分方程组与n阶线性微分方程之间的关系,得到n阶非齐次线性微分方程的一个特解公式.
短句来源
     This article transforms the constant coefficient inhomogeneous linear differential equation of f(x)=e~(λx) into two simple cases, hence its special solutions can be easily worked out.
     本文作者将f(x)=eλx[Ps(x)cosωx+Pn(x)sinωx]的常系数非齐次线性微分方程转化为两种简单的情况,从而易于求其特解。
短句来源
  非齐线性微分方程
     For a certain function relation between the variable coefficient p(t) and q(t), the general solution to an inhomogeneous linear differential equation of second order x"+p(t)x'+q(t)x=f(t) can be directly found by the simple elementary integration in this paper.
     本文针对变系数P(t)与q(t)之间的某种确定的函数关系,通过简便的初等积分,将直接给出有关二阶变系数非齐线性微分方程:x″+P(t)x′+q(t)x=f(t)的通解。
短句来源
     This paper gives the general solutions of the second order inhomogeneous linear differential equation with inconstant coefficients, by the method of the variable transformation.
     通过变量变换 ,将变系数线性常微分方程化为常系数线性常微分方程 ,再利用常数变易法给出了一类二阶变系数非齐线性微分方程的通解。
短句来源
     The general solutions of the third order inhomogeneous linear differential equation with variable coefficients is given,by the method of the variable transformation.
     通过变量变换 ,将变系数线性常微分方程化为常系数线性常微分方程 ,再利用常数变易法 ,给出一类三阶变系数非齐线性微分方程的通解
短句来源
  “inhomogeneous linear differential equation”译为未确定词的双语例句
     The Methods of Eigenfunction for Finding Solutions of Inhomogeneous Linear Differential Equation with Constant Cofficients
     常系数线性非齐次微分方程求解的特征函数法
短句来源
     The fundamental equation is reduced to an inhomogeneous linear differential equation of second order by a mixed integral transform, and the solution is expanded into a series of normal modes.
     用混合积分变换将运动介质声学基本方程化为一非齐次线性二阶常微分方程,并将它的解展开成各阶简正波之迭加;
短句来源
     In this paper, we present five sorts of methods for finding the particular solutions of the n-th-order inhomogeneous linear differential equation with constant coefficients. These methods require only evaluating values of the eigenfunction A(r) and its all orders of derivative on some point. They are simple and two sorts of reeursion formulas are fit to compute with computer.
     本文给出了五种求n阶常系数线性非齐次微分方程待解的方法.这些方法只需计算特征函数A(r)及其各阶导数在某点的值,方法简单,两种递推公式适合计算饥计算,本文还简化了文[1]中递推公式(即本文的递推公式(二))的证明.
短句来源
     In this paper, a method to constant coefficient inhomogeneous linear differential equation is put forward.
     给出了解常系数非齐次线性常微分方程的一种方法。
短句来源
     This paper gives the general solutions of the six order inhomogeneous linear differential equation with variable coefficients,by the method of the variable transformation.
     将六阶变系数线性常微分方程利用变量变换化为常系数线性常微分方程,进而得出它的通解·
短句来源
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  inhomogeneous linear differential equation
On the solution of the general inhomogeneous linear differential equation of second order using lie series representation
      


The diffracted field of a sound pulse source in a moving stratified medium, in which a shadow zone may be formed, has been studied theoretically. The fundamental equation is reduced to an inhomogeneous linear differential equation of second order by a mixed integral transform, and the solution is expanded into a series of normal modes. Following the method developed by Friedlander, asymptotic expressions of eigen value and eigen functions are derived from Langer's asymptotic solutions. The approximate...

The diffracted field of a sound pulse source in a moving stratified medium, in which a shadow zone may be formed, has been studied theoretically. The fundamental equation is reduced to an inhomogeneous linear differential equation of second order by a mixed integral transform, and the solution is expanded into a series of normal modes. Following the method developed by Friedlander, asymptotic expressions of eigen value and eigen functions are derived from Langer's asymptotic solutions. The approximate formula of the field near the diffracted front is obtained for the observing points far inside the shadow boundary. Based on this formula, the establishing process and the attenuation with horizontal distance of field are discussed respectively. These relations are strongly dependent upon the boundary condition and the situations of source and receiver.

本文研究了作定常无旋运动的分层介质中形成影区条件下一δ型脉冲点声源的衍射场.用混合积分变换将运动介质声学基本方程化为一非齐次线性二阶常微分方程,并将它的解展开成各阶简正波之迭加;运用Friedlander所发展的方法由Langer渐近解求出本征值和各本征函数的渐近表式;对于深入影区边界之内的观察点得到了波前附近场的渐近表式.根据这一表式讨论了场随时间的建立过程和随水平距离的衰减关系.这些关系强烈地依赖于边界条件以及声源和接收点是否位于界面上这一情况.

For a certain function relation between the variable coefficient p(t) and q(t), the general solution to an inhomogeneous linear differential equation of second order x"+p(t)x'+q(t)x=f(t) can be directly found by the simple elementary integration in this paper.

本文针对变系数P(t)与q(t)之间的某种确定的函数关系,通过简便的初等积分,将直接给出有关二阶变系数非齐线性微分方程:x″+P(t)x′+q(t)x=f(t)的通解。

In this paper, we present five sorts of methods for finding the particular solutions of the n-th-order inhomogeneous linear differential equation with constant coefficients. These methods require only evaluating values of the eigenfunction A(r) and its all orders of derivative on some point.They are simple and two sorts of reeursion formulas are fit to compute with computer. Moreover the Proof of recursion formula in paper [1](namely recursion formula (two) in this paper) is simplified

本文给出了五种求n阶常系数线性非齐次微分方程待解的方法.这些方法只需计算特征函数A(r)及其各阶导数在某点的值,方法简单,两种递推公式适合计算饥计算,本文还简化了文[1]中递推公式(即本文的递推公式(二))的证明.

 
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