17. Ecuaciones Diferenciales, puntos singulares y puntos ordinarios ¿qué son?

▼ IMPORTANT ▼ In this video I will explain how the singular and ordinary points of a second order homogeneous linear differential equation are defined and calculated, using limits to determine if the functions are analytical. I will also explain a theorem that ensures that if a is an ordinary point, there are two linearly independent solutions centered on a, and also the radius of convergence of these series is at least the distance to the nearest singular point. We will see several examples solved step by step. #Frobenius #series #differential equations ---------- ** IMPORTANT LINKS ** ODE Power Series Method:    • Método de Series de Potencias (Ecuaciones ...   ODE Course (Ordinary Differential Equations):    • Curso Completo de Ecuaciones Diferenciales   Special Videos:    • Members-only videos   Mathematics Review Course (Pre-University)    • Curso de Repaso de Matemáticas   ---------- ** SEE ALL MY COURSES HERE **    / arquimedes1075   ---------- ** BIBLIOGRAPHY ** Differential Equations, Edwards and Penney Differential Equations, Daniel A. Marcus Differential Equations, Dennis G. Zill ---------- ** DONATIONS ** Paypal: https://www.paypal.com/cgi-bin/webscr... Channel memberships:    / @matefacilyt   Patreon:   / matefacil   ---------- ** MY OTHER CHANNELS AND SOCIAL NETWORKS ** Physics Channel:    / @matefacilfisica   Videogame Channel:    / @matefacily   Twitch:   / matefacil   MateFacil App: https://educup.io/apps/matefacil Facebook (Page):   / arquimedes1075   Twitter: @Matefacilx Instagram: @Matefacilx Discord:   / discord   ---------- #Matefacil #Matematicas #Math #tutorial #tutor #tutoriales #profesor ----