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Introduction and Theoretical Results
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Related lectures (29)
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Homogeneous Differential Equations
Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.
Differential Equations: Solutions and Periodicity
Explores dense sets, Cauchy sequences, periodic solutions, and unique solutions in differential equations.
Advanced Analysis II: Differential Equations and Timers
Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.
Material Point Model: Basics
Covers the material point model, initial conditions, and Newton's laws in physics.
Differential Equations: Solution Methods
Explores the resolution of differential equations and the properties of exponential functions in electrical engineering.
Separable Differential Equations
Covers separable differential equations of order 1, defining separable equations and providing examples.
Ordinary Differential Equations: Separable Variables
Covers ordinary differential equations with separable variables and the conditions for unique solutions in EDOs.
Vertical Metronome: Equilibrium and Stability
Explores equilibrium and stability of a vertical metronome system with springs.
First Order Differential Equations
Covers the existence and uniqueness of solutions for first-order differential equations and the superposition principle.
Cauchy Problem: Existence and Uniqueness of Solutions
Covers the Cauchy problem, focusing on the existence and uniqueness of solutions to differential equations.