Mechanics of a helix under gravity

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Introduction to Ordinary Differential Equations

Introduces ordinary differential equations, their order, numerical solutions, and practical applications in various scientific fields.

Differential Equations: Initial Conditions and Solutions

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

Continuum Mechanics: Forces and Deformation

Covers the basics of continuum mechanics, including forces transmission, energy conservation, and body motion geometry.

Robot Manipulators Dynamics

Covers the dynamics of robot manipulators, including dynamic models and equations, differential equations, and dynamic representations.

First Order Differential Equation

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

Separable Differential Equations

Covers separable differential equations of order 1, defining separable equations and providing examples.

Ordinary Differential Equations: Basics

Introduces the basics of ordinary differential equations, exploring existence, uniqueness, higher dimensions, Lipschitz functions, and solution finding.

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.