Vibrational Mechanics: Modes and Equations

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Covers various applications of trigonometric functions, such as calculating values using inverse trigonometric functions.

Higher Order Methods: Iterative Techniques

Covers higher order methods for solving equations iteratively, including fixed point methods and Newton's method.

Solving Cauchy Problems: Differential Equations and Solutions

Demonstrates the process of solving a Cauchy problem for a differential equation with specific initial conditions.

Mathematical Exercises: Functions and Equations

Covers mathematical exercises on functions, equations, and trigonometric functions.

Absolute Value

Covers the concept of absolute value and its properties, including graphical interpretation and equation solving.

Implicit Functions Theorem

Explores the Implicit Functions Theorem, demonstrating how to find solutions to equations like x²+y²=1 through implicit differentiation and function properties.

Vibratory Mechanics: Continuous Systems

Explores vibratory mechanics in continuous systems, covering separation of variables, boundary conditions, and harmonic solutions.

General Solutions of Differential Equations

Explores general solutions of differential equations with a focus on x

Resolution Sequence: Defining a Procedure

Explains the systematic procedure for solving flow sheets and stream calculations.

Linear Differential Equations: Methods and Solutions

Covers methods for solving first-order linear ordinary differential equations.