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- The method of undetermined coefficients is the general method of solving a linear differential equation with constant coefficients of the second order. 摘要二阶常系数线性微分方程可用常规方法待定系数法求解。
- In this paper, we discuss and replenish Liouville formula of linear differential equation. 对线性微分方程中的刘维尔公式做了适当的补充和讨论.
- We discuss the stability of a kind of neutral delayed linear differential equation, and obtain the stability criterion of this equation. 摘要讨论了一类中立型线性微分方程的稳定性,得到其零点稳定的充分判别准则。
- Series solution of second order linear differential equation.Legendre's differential equation and Bessel's differential equation. 幂级数法与佛氏法解李建德微分方程式和贝色微分方程式;
- Application of the transformations of function, some new integrable forms of third-order linear differential equation with variable coefficients are obtained. 借助于因变量代换,得到了三阶变系数线性微分方程的若干新的可积类型。
- Some integral types of the fifth-order linear differential equation with varied coefficient was given by further discussing the properties of invariant. 进一步讨论了不变量的性质,给出了五阶变系数线性微分方程的一些可积类型。
- The integrable classes of fourth-order linear differential equation are given by studing the invariant of fourth-order linear differential equation with varied coefficient. 摘要通过研究四阶变系数线性微分方程的不变量,得到了四阶变系数线性微分方程的一些可积类型。
- This extend the solutions of clossical constant coefficientlinear equation and the famous Euler equation and provide a effective method forsolving variable coefficient linear differential equation. 给出了具有指数型解的充要条件,推广了经典的常系数线性方程和著名的Euler方程的的解法,为求解变系数线性微分方程提供了有效的方法。
- This paper introduces three methods to find solutions to second-order constant coefficient inhomogenous linear differential equation, namely multinomial method, ascending order method and integration method. 摘要求二阶常系数线性微分方程特解的方法虽然有许多种,但用多项式法、阶数上升法、积分法求二阶常系数线性微分方程的特解是比较简便的。
- In this paper, we study the finite iterated order of growth and the iterated convergence exponent of the zero sequence of nonzero meromorphic solutions of second order homogeneous linear differential equation, and obtain some precision evaluation. 摘要研究了二阶齐次线性微分方程非零亚纯解的迭代级与零点迭代收敛指数,得到了它们的精确估计。
- Systems of linear differential equations can be handled by using the methods of linear algebra. 线性微分方程组可以应用线性代数中的方法求解。
- The solution of the set of second-order linear differential equations (6.10) depends on the eigenvalues of A. 二阶线性微分方程组(6.;10)的解依赖于A的特征值。
- Method of substitution of constants is an important method for solving nonhomogeneous linear differential equations. 常数变易法是求解非齐线性微分方程(组)的一种重要方法.
- partial linear differential equation 线性偏微分方程
- In chapter 5, we study the oscillation of solutions of higher order linear differential equations where coefficients are regular super meromorphic functions . 第五章则是假设在方程系数为正规亚纯函数的条件下得到的解的增长性方面的结果。
- The problems on the fixed points of three-order derivatives of solutions of second-order linear differential equations with meromorphic coefficients are discussed. 研究了以亚纯函数为系数的二阶线性微分方程解的三阶导函数的不动点问题,得到了与其解的一阶、二阶导函数类似的结果。
- non-homogeneous linear differential equation 非齐线性微分方程式
- self-adjoint linear differential equation 自伴线性微分方程
- linear differential equation of high order 高阶线性微分方程
- first order non - linear differential equation 一阶非线性微分方程