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Lecture
Linear Differential Equations: General Solutions
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Differential Equations: Existence and Uniqueness
Covers differential equations with separated variables, existence and uniqueness of a solution with a given initial condition.
General Solutions of Differential Equations
Explores general solutions of differential equations with a focus on x
First Order Differential Equation
Covers first-order differential equations, including linear equations and applications in physics.
Linear Differential Equations: Homogeneous and Separable
Covers linear differential equations of order 1, focusing on homogeneous and separable equations.
Linear Homogeneous Equations
Covers second-order linear homogeneous differential equations and their solutions.
Material Point Model: Basics
Covers the material point model, initial conditions, and Newton's laws in physics.
Linear Second Order ODEs
Covers the solution of linear second order ODEs with constant coefficients and explores the method of variation of parameters.