ODEs and PDEs, First order ODEs, system of 1st order ODEs #swayamprabha

This video introduces differential equations, differentiating between ordinary differential equations (ODEs) (1:21) and partial differential equations (PDEs) (3:04). It explains concepts like the order and degree of ODEs (6:37) and classifies them as linear, homogeneous, or non-homogeneous (10:13). Finally, the video discusses general and particular solutions (15:44), as well as explicit and implicit solutions (19:32) to differential equations. 🌟 Welcome to Swayam Prabha 🌟 Subject: Chemistry Course Name: Advanced Mathematical Methods for Chemistry Name of Presenter: Prof. Madhav Ranganathan Affiliation / Institute: IIT Kanpur 📚 About Swayam Prabha Swayam Prabha is a flagship educational initiative of the Government of India, providing free, high-quality educational content through DTH television and online platforms. 📡 Programme & Delivery Swayam Prabha operates 40+ free-to-air DTH educational channels, broadcasting academic content 24×7 via the GSAT-15 satellite. New content is telecast daily and repeated multiple times for learner convenience. 🎓 Content Providers IITs, UGC, CEC, IGNOU, NPTEL, NCERT, and other national educational institutions. 🖥️ INFLIBNET Centre The INFLIBNET Centre maintains the Swayam Prabha web portal and supports content discovery, scheduling, and access to educational resources. 📺 Broadcast Infrastructure All channels are uplinked from BISAG-N, Gandhinagar, ensuring reliable nationwide transmission. 🌐 Official Website https://swayamprabha.gov.in/ 📌 This video is part of the Swayam Prabha initiative and is intended for academic and educational purposes only. #DifferentialEquations #ODEsAndPDEs #MathematicalMethods #FirstOrderODEs #EquationSolutions