First Order Linear Differential Equations

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Covers the definition and solution of Cauchy-Euler equations, which are second-order differential equations with specific form and solutions.

Linear Differential Equations: General Solutions

Covers linear differential equations of the first order and methods of demonstration.

Differential Equations: Initial Conditions and Solutions

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

Fluid Friction Forces

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

Second Order Differential Equations

Explores second order linear differential equations, including complex solutions and trigonometric functions.

Linear Differential Equations: Second Order with Constant Coefficients

Covers linear differential equations of the second order with constant coefficients, focusing on solution methods for various discriminant cases.

Ordinary Differential Equations: Second Order

Covers the resolution of linear ordinary differential equations of the second order with constant coefficients and a source term.

General Solution of Homogeneous Second Order Linear Differential Equations

Covers the general solution of homogeneous second-order linear differential equations with constant coefficients and the concept of linear independence of solutions.

Ordinary Differential Equations: Second Order Linear Inhomogeneous

Covers the resolution of second-order linear ordinary differential equations with constant coefficients and a source term.

Introduction to Ordinary Differential Equations

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