Lectures related to Linear First Order Differential Equations

Advanced Analysis II: Differential Equations and Timers

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

Differential Equations: Speed Variation Analysis

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

Differential Equations: Initial Conditions and Solutions

Covers the solution of differential equations with initial conditions and limit analysis.

MATLAB Essentials: Functions and Variables

Covers essential MATLAB functions, variables, loops, and debugging tools.

Differential Equations: Solutions and Functions

Explores solutions of differential equations and properties of functions.

Probability and Statistics

Covers mathematical concepts from number theory to probability and statistics.

Differential Equations: Methods and Solutions

Discusses methods for solving first-order linear differential equations, focusing on separation of variables and the integrating factor method.

Advanced Analysis II: Differential Equations

Explores Lipschitz conditions in differential equations and their implications on solutions and properties.

Fourier Series and Equations

Covers Fourier series, periodic functions, and Fourier transforms.

Advanced Analysis II: Integrals and Functions

Covers advanced topics in analysis, focusing on integrals, functions, and their properties.

Linear Independence: The Wronskian Concept

Explains the Wronskian and its role in determining linear independence of solutions to differential equations.

Linear Differential Equations: Second Order Solutions

Covers second-order linear differential equations, focusing on their solutions and the concept of linear independence among them.

Differential Equations: Solutions and Monotonicity

Explores solutions of differential equations and their monotonicity properties.

Linear Differential Equations: Solutions and Wronskian

Covers linear differential equations, focusing on solutions, the Wronskian, and methods for solving non-homogeneous equations.

Existence of y: Proofs and EDO Resolution

Covers the proof of the existence of y and the resolution of EDOs with practical examples.

Differential Equations: Initial Conditions and Solutions

Discusses ordinary differential equations, focusing on initial conditions and methods for finding solutions.

Solutions of Differential Equations

Explores finding solutions of differential equations, emphasizing maximal solutions and general solutions with constants.

Advanced Analysis II: Second Order Linear Differential Equations

Covers second order linear differential equations, focusing on solution construction and the concept of linear independence among solutions.

Bernoulli Differential Equations: Historical Insights and Solutions

Discusses Bernoulli differential equations, their historical context, and methods for solving them, emphasizing the importance of linear algebra concepts in understanding these equations.

Cauchy Problem: Differential Equations and Initial Conditions

Covers the Cauchy problem, focusing on differential equations and the role of initial conditions in determining unique solutions.