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Homogeneous differential equation
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Differential anaysis
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Related lectures (29)
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Signals and Systems: Time Shift and Reflection
Explores time shift, reflection, response of a system, convolution, and differential equations in signals and systems.
Second Order Equations
Covers second-order differential equations, focusing on finding particular solutions and the general solution.
Method of Undetermined Coefficients
Explores the method of undetermined coefficients for solving non-homogeneous linear differential equations with constant coefficients.
Physics Mini-Test: Trajectory Analysis
Explores the analysis of a ball's trajectory in contact with a beam, focusing on forces, angles, and motion equations.
Material Point Model: Basics
Covers the material point model, initial conditions, and Newton's laws in physics.
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.
Differential Equations in Motion
Explores differential equations for motion, including critical damping and damped oscillators, with applications in complex numbers and examples of mass-spring systems.
Direction Fields, Euler Methods, Differential Equations
Explores direction fields, Euler methods, and differential equations through practical exercises and stability analysis.
Signals & Systems I: Convolution, Response of a System
Covers convolution, response of a system, and differential equations in signals & systems.