Linear Differential Equations

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Related lectures (47)

Differential Equations: Speed Variation Analysis Log in to Mediaspace to watch this video

Covers the analysis of speed variation using differential equations and small time intervals.

General Solution of Inhomogeneous ED Log in to Mediaspace to watch this video

Covers the general solution of inhomogeneous differential equations and explores linear dependence, uniqueness theorems, and second-order equations.

Linear Differential Equations Log in to Mediaspace to watch this video

Covers linear differential equations of order n with constant coefficients and how to find their general solutions.

Numerical Analysis: Stability in ODEs Log in to Mediaspace to watch this video

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Advanced analysis II: second order linear ODEs Log in to Mediaspace to watch this video

Explores second-order linear ODEs, solutions uniqueness, and linear independence.

Advanced Analysis II: Differential Equations and Timers Log in to Mediaspace to watch this video

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

Linear Second Order ODEs Log in to Mediaspace to watch this video

Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.

Solutions of Homogeneous Linear Differential Equations Log in to Mediaspace to watch this video

Covers the solutions of homogeneous linear differential equations and how to find linearly independent solutions.

General Integrals: Notation and Equations Log in to Mediaspace to watch this video

Covers the general concept of integrals, focusing on notation and equations.

State-space Modeling Log in to Mediaspace to watch this video

Introduces the state-space approach to modeling dynamical systems and its utility for high-speed solution of differential equations and computer algorithms.

Cable Structures: Analysis and Equilibrium Log in to Mediaspace to watch this video

Covers cable structures analysis, equilibrium, and comparison with arches, including examples and exam preparation.

Fourier Transform: Inversion Formula Log in to Mediaspace to watch this video

Covers the Fourier transform inversion formula with examples and exercises for verification.

Transmission Lines: Basic Equations (C11-C14)Log in to Mediaspace to watch this video

Covers the mathematical theory of transmission lines, focusing on basic equations and characteristic impedance.

Newtonian Mechanics: Fundamentals and Applications Log in to Mediaspace to watch this video

Introduces Newtonian mechanics, covering reference frames, laws of motion, and projectile motion.

Metabolic Modeling: FBA and TFA Log in to Mediaspace to watch this video

Introduces Flux Balance Analysis (FBA) and Total Flux Analysis (TFA) in metabolic modeling using MATLAB.

Change of Basis: Matrices and Transformations Log in to Mediaspace to watch this video

Explores changing bases in vector spaces using matrices and the significance of preserving structure within vector spaces.

Linear Mapping and Bases Log in to Mediaspace to watch this video

Explores linear mapping, isomorphism, and change of bases in vector spaces.

Matrix Transformations: Elementary Row Operations Log in to Mediaspace to watch this video

Covers elementary row operations, row-equivalent matrices, row-echelon form, Gauss method, uniqueness of reduced form, and matrix rank.

Quantum Chemistry: Schrödinger Equation Solutions Log in to Mediaspace to watch this video

Explores the solutions to the Schrödinger Equation in Quantum Chemistry, emphasizing wavefunction properties and energy quantization.

Coupled Oscillators: General Solutions Log in to Mediaspace to watch this video

Explores general solutions for coupled oscillators, focusing on single and N harmonic oscillators, eigenmodes, and initial conditions.

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