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Anterior: https://www.youtube.com/watch?v=JfrxhXSwgBY Siguiente: https://www.youtube.com/watch?v=h32idFb_axA Ecuaciones Diferenciales Parciales EDP: https://www.youtube.com/playlist?list=PL9SnRnlzoyX05Y-DlDAoD4KwuHeNoP39F SERIE DE FOURIER EN SENOS: https://www.youtube.com/watch?v=Hu1yrdEO_ow En este video veremos un ejercicio (ejemplo) resuelto de una ecuación en derivadas parciales (ecuación diferencial parcial) de calor en una dimensión con condiciones en la frontera cero (varilla delgada con extremos con temperatura cero constante) y condición inicial (distribución inicial de temperaturas dada por una función polinomial cúbica), resuelta por el método de Fourier, esto es, primero separando variables, y resolviendo dos ecuaciones diferenciales ordinarias para diferentes casos posibles de lambda, calculando los valores propios y sus correspondientes funciones propias, y finalmente usando principio de superposición para calcular la serie de Fourier en senos correspondiente mediante integrales resueltas por integración por partes (método tabular). Todo explicado paso a paso. __________________________________ ** ENLACES IMPORTANTES ** Ecuaciones Diferenciales Ordinarias EDO: https://www.youtube.com/playlist?list=PL9SnRnlzoyX0RE6_wcrTKaWj8cmQb3uO6 Ecuaciones Diferenciales Parciales EDP: https://www.youtube.com/playlist?list=PL9SnRnlzoyX05Y-DlDAoD4KwuHeNoP39F Álgebra Lineal: https://www.youtube.com/playlist?list=PL9SnRnlzoyX32lX7zNawatnGQP7IPLIi5 Variable Compleja: https://www.youtube.com/playlist?list=PL9SnRnlzoyX1EyKrhu12qtHyxrvAkLHHR Cálculo de Varias Variables: https://www.youtube.com/playlist?list=PL9SnRnlzoyX2-qH2lY3o5Lhv9f6za9o9A Integrales dobles y triples: https://www.youtube.com/playlist?list=PL9SnRnlzoyX07cHRqkJFoq6sPEfVPeIqT Videos Exclusivos: https://www.youtube.com/playlist?list=UUMOHwtud9tX_26eNKyZVoKfjA Curso de repaso de matemáticas (preuniversitarias) https://www.youtube.com/playlist?list=PL9SnRnlzoyX1-FFtFcUupLSdnTRvs8B5K __________________________________ ** MIRA TODOS MIS CURSOS AQUÍ ** https://matefacil.net/ __________________________________ ** BIBLIOGRAFÍA ** - Ecuaciones Diferenciales Parciales, Richard Haberman - Matemáticas Avanzadas para ingeniería, Peter V. O'Neil - Matemáticas Avanzadas para Ingeniería, Dennis Zill - Introduction to Partial Differential Equations, Peter J. Olver __________________________________ ** DONACIONES ** - Paypal: https://www.paypal.com/donate/ - Membresías del canal: https://www.youtube.com/channel/UCHwtud9tX_26eNKyZVoKfjA/join - Patreon: https://www.patreon.com/matefacil __________________________________ ** MIS OTROS CANALES Y REDES SOCIALES ** - Grupo de Telegram: https://t.me/matefacilgrupo - Canal de Física: https://www.youtube.com/channel/UCeFNpG-n8diSNszUAKaqM_A - Ejercicios de libros: https://www.youtube.com/@MateFacilEjercicios - Canal de Videojuegos: https://www.youtube.com/channel/UClSpw-rlRdygJmI33x1YagA - Twitch: https://www.twitch.tv/matefacil - Facebook (Página): https://www.facebook.com/unsupportedbrowser - Twitter: https://www.twitter.com/matefacilx - Instagram: https://www.facebook.com/unsupportedbrowser - TikTok: https://www.tiktok.com/@matefacilx - Discord: https://discord.com/invite/Gmb7sF9 __________________________________ #Matefacil #Matematicas #Math #tutorial #tutor #tutoriales #profesor __________________________________
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