Vertical Oscillators

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Advanced Analysis II: Differential Equations and Timers

Discusses advanced analysis concepts, focusing on differential equations and timers in microcontrollers.

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.

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.

Law of Hooke Applications: Spring Problems

Explores the application of the law of Hooke to spring problems and solving equations of motion for block-spring systems.

Separable Differential Equations

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

Linear Differential Equations

Explores linear differential equations, including higher-order linear homogeneous equations and equations with constant coefficients.

Numerical Analysis: Stability in ODEs

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

Linear Differential Equations

Explores solving linear differential equations and the principle of superposition with illustrative examples.

Second Order Differential Equation

Explores solutions for real inhomogeneous second-order differential equations and physical examples of vertical oscillatory motion.

Canonical Transformations in Analytical Mechanics

Explores canonical transformations, conservation of quantities, and differential equations in analytical mechanics.