Mathematical Equations: Applications and Solutions

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Related lectures (29)

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Properties of Fundamental Solutions: Green's Representation Formula

Covers the properties of fundamental solutions and introduces Green's representation formula for solving partial differential equations.

Differential Equations: Implicit Function Theorem Applications

Discusses the reduction of higher-order differential equations to first-order systems using the implicit function theorem.

Solving Cauchy Problems: Differential Equations and Solutions

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

Numerical Methods: Differential Equations

Covers the application of numerical methods to solve differential equations using MATLAB.

Linear Algebra: Identical Applications

Explores identical applications in linear algebra, discussing their representation and implications through examples and equation solving.

First Order Differential Equation

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

Solving the Quintic: Dominant Balance Analysis

Explores dominant balance analysis in solving the quintic polynomial, revealing insights into root behavior and the importance of symbolic expressions.

Quadratic Equation: Programming Solutions

Covers the programming of a script to calculate the solutions of quadratic equations.

Normal Equations in Linear Algebra

Explains normal equations in linear algebra, focusing on vector products.