# Category Archives: Mathematics

## Functional series: exercises

1. Study the point convergence and the uniform convergence of the succession of functions with general term We first study the pointwise limit for . It must be taken into account when calculate the limit that the variable x can … Continue reading

## 1st-order ordinary differential equations

Separable equations Unique solutions Enveloping curve of a beam of curves Homogeneous functions. Application to differential equations Exact equations Separable equations The separable differential equations are those of the form where can be expressed either as the quotient or as … Continue reading

## Ordinary Differential Equations: Introduction

Motivation The equations studied in Algebra, such as , they express static numerical relationships, and their solution is numbers that fulfill the equation. Now, the most interesting natural phenomena involve dynamic relationships and are best expressed with relationships between variable … Continue reading