Fluid Dynamics: ode15i Tutorial

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Differential Equations: Speed Variation Analysis

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Numerical Analysis: Jupyter Notebook Tutorial

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Material Point Model: Basics

Covers the material point model, initial conditions, and Newton's laws in physics.

Numerical Analysis: Stability in ODEs

Covers the stability analysis of ODEs using numerical methods and discusses stability conditions.

Homogeneous Differential Equations

Explores solving first-order homogeneous differential equations through variable changes and delves into the Bernoulli differential equation.

One Dimensional Harmonic Oscillator

Explores the one-dimensional harmonic oscillator, equilibrium positions, and forced oscillators with external forces.

Advanced Analysis II: Differential Equations and Timers

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Fluid Friction Forces

Explores fluid friction forces, including laminar and turbulent flow, viscosity, and terminal velocity calculation.

Canonical Transformations: Hamilton-Jacobi Equation

Explores canonical transformations, the Hamilton-Jacobi equation, symplectic groups, and differential equations in physics.