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Ordinary differential equation
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Related lectures (29)
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Direction Fields, Euler Methods, Differential Equations
Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.
Advanced Analysis II: Differential Equations and Timers
Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.
Differential Equations: Solution Methods
Explores the resolution of differential equations and the properties of exponential functions in electrical engineering.
Material Point Model: Basics
Covers the material point model, initial conditions, and Newton's laws in physics.
Differential Equations: General Solutions and Methods
Covers solving linear inhomogeneous differential equations and finding their general solutions using the method of variation of constants.
Linear Differential Equations
Explores solving linear differential equations and the principle of superposition with illustrative examples.
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.
Solving Separable Equations
Covers the method for solving separable equations and linear homogeneous equations, as well as a simple population growth model.
Vertical Metronome: Equilibrium and Stability
Explores equilibrium and stability of a vertical metronome system with springs.
Introduction to Ordinary Differential Equations
Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.