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MTH401:微分方程

MTH401: Differential Equations
课程网址: http://ocw.vu.edu.pk/CourseDetails.aspx?cat=Mathematics&course=MT...  
主讲教师: Dr. Junaid Zaidi
开课单位: 巴基斯坦虚拟大学
开课时间: 信息不详。欢迎您在右侧留言补充。
课程语种: 英语
中文简介:
可分离变量方程,齐次微分方程,精确微分方程,积分因子技术,一阶线性方程,伯努利方程,一阶微分方程的应用,放射性衰变,非线性方程的应用,高阶线性微分方程,常系数齐次线性方程,待定系数法(叠加法),待定系数法(零化算子法),高阶方程参数的变化,二阶微分方程的应用,阻尼运动,强迫运动,变系数微分方程,Cauchy-Euler方程:替代方法的解决方案,幂级数,解决普通点,解决方案对奇异点,贝塞尔微分方程,勒让德的微分方程,线性微分方程组,系统线性一阶方程的特征值问题,矩阵和线性一阶方程组,齐次线性方程组,线性和重复的特征值,非齐次系统。
课程简介: Separable Equations, Homogeneous Differential Equations, Exact Differential Equations, Integrating Factor Technique, First Order Linear Equation, Bernoulli Equations, Applications of First Order Differential Equations, Radioactive Decay, Applications of Non Linear Equations, Higher Order Linear Differential Equations, Homogeneous Linear Equations with Constant Coefficients, Method of Undetermined Coefficients ( Superposition Approach), Method of Undetermined Coefficients (Annihilator Operator Approach), Variation of Parameters for Higher-Order Equations, Applications of Second Order Differential Equations, Damped Motion, Forced Motion, Differential Equations with Variable Coefficients, Cauchy-Euler Equation: Alternative Method of Solution, Power Series, Solution about Ordinary points, Solution about Singular Points, Bessel's Differential Equation, Legendre's Differential Equation, Systems of Linear Differential Equations, System of Linear First Order Equation, Eigen value Problem, Matrices and Systems of Linear First-Order Equations, Homogeneous Linear Systems, Linear and Repeated Eigen values, Non-Homogeneous System.
关 键 词: Mathematics ; Technology ; Differential Equations
课程来源: 巴基斯坦虚拟大学公开课
最后编审: 2020-10-01:yumf
阅读次数: 28