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Related lectures (27)
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Differential Equations: Solution Methods
Explores the resolution of differential equations and the properties of exponential functions in electrical engineering.
Numerical Methods for ODEs: Crank-Nicolson, Heun, Euler, RK4
Explores numerical methods like Crank-Nicolson, Heun, Euler, and RK4 for solving ODEs, emphasizing error estimation and convergence.
Numerical Methods: Differential Equations
Covers the application of numerical methods to solve differential equations using MATLAB.
Bernoulli Differential Equation
Explores the Bernoulli differential equation, historical context, solution methods, linear homogeneous equations, and examples.
One Dimensional Harmonic Oscillator
Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.
Error Estimation in Numerical Methods
Explores error estimation in numerical methods for solving differential equations, focusing on local truncation error, stability, and Lipschitz continuity.
Advanced Analysis II: Differential Equations and Timers
Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.
Linear Differential Equations
Explores solving linear differential equations and the principle of superposition with illustrative examples.
Ordinary Differential Equations: Basics
Introduces the basics of ordinary differential equations, exploring existence, uniqueness, higher dimensions, Lipschitz functions, and solution finding.
Numerical Integration: Euler Method
Covers the progressive Euler method for numerical integration of ODEs, including Cauchy problems and Runge-Kutta methods.