Differential and Difference Equations

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Related lectures (30)

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First Order Differential Equation

Covers first-order differential equations, including linear equations and applications in physics.

Modeling Dynamic Systems: Definitions and Examples

Covers the modeling of dynamic systems, including definitions, examples, and linearization processes for easier analysis.

Vertical Metronome: Equilibrium and Stability

Explores equilibrium and stability of a vertical metronome system with springs.

Laplace Transform: Properties and Examples

Covers the Laplace Transform, including its properties and examples.

Addition of Springs: General Physical Exercises I

Covers the addition of springs in series and parallel, exploring equivalent movements.

Cauchy-Euler Equations

Covers the definition and solution of Cauchy-Euler equations, which are second-order differential equations with specific form and solutions.

Linear Differential Equations

Covers linear differential equations of order n with constant coefficients and how to find their general solutions.

Signals & Systems I: Characteristic Modes and Green Functions

Explores characteristic modes, green functions, stability criteria, and system response to complex excitations.

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.

Differential Equations: Initial Conditions and Solutions

Covers the solution of differential equations with initial conditions and limit analysis.