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Differential Equations - MTH401 - VU Video Lectures
1547 Views
Definition of a differential equation, Classification of differential equations, Solution of a differential equation, Existence and uniqueness of solutions.
1096 Views
Applications of first order differential equations : Orthogonal trajectories, Population dynamics.
1092 Views
Radioactive decay, Newton's law of cooling, Carbon dating.
1350 Views
Higher order linear differential equations, Linear differential equation, Non-homogeneous differential equation, Associated homogeneous differential equation.
1110 Views
Homogeneous linear equations with constant coefficients.
1033 Views
Method of undetermined coefficients-superposition approach.
1163 Views
Undetermined coefficient: Annihilator operator approach.
975 Views
Variation of parameters: First order equation, Second order equation.
1212 Views
Variation of parameters method for higher-order equations.
1224 Views
Applications of second order differential equation.
1253 Views
Differential equations with variable coefficients, Cauchy- Euler equation.
1034 Views
Cauchy-Euler equation: Alternative method of solution.
1089 Views
Power series, Convergence and Divergence, Ratio test, Absolute convergence, Arithmetic of power series.
1010 Views
Power series solution of a differential equation.
1020 Views
Analytic function, Ordinary and singular point, Polynomial coefficients, Non-polynomial coefficients.
951 Views
Solution about singular points, Regular and Irregular singular points, Frobenius’ theorem, Method of Frobenius-Cases 1: Roots not differing by an integer.
1093 Views
Method of Frobenius-Cases II and III: Roots differing by a positive integer and Equal indicial roots.
1173 Views
Bessel’s differential equation, Series solution of bessel’s differential equation, Bessel’s function of the first Kind.
1021 Views
Legendre’s differential equation, Legendre’s polynomials, Rodrigues formula for legendre’s polynomials, Legendre’s polynomials are orthogonal, Normality condition for legendre’ polynomials.
1059 Views
Systems of linear differential equations, Simultaneous differential equations, Systematic elimination: Operator method.
948 Views
Systems of linear first-order equation, The Nth-Order System, Systems reduced to normal form, Degenerate systems.
1120 Views
Introduction to Matrices: Matrix, Order of matrix, Square matrix, Equality of matrix, Column matrix, Multiple of matrices, Addition, Difference, Multiplication of Matrices, Zero matrix, Associative, Distributive Laws, Determinant of a matrix.
962 Views
The Eigenvalue problem, Eigenvalues and Eigenvectors.
967 Views
Matrices and systems of linear first-order equations, Initial–value problem.
1522 Views
Matrices and systems of linear first-Order equations (continued), Theorem: Existence of a fundamental set, Non-homogeneous systems, Particular integral.
1060 Views
Homogeneous linear systems, Eigenvalues and Eigenvectors.
1780 Views
Real and repeated eigenvalues, Eigenvalue of multiplicity m,Two and Three.
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