Power Series Solution | Differential Equation 2.0 | Series Solution | By GP Sir

Differential Equation 2.0 | Power Series Solution | By GP Sir In this lecture, we will study the Power Series Solution of Differential Equations in detail. 📚 Topics Covered in This Video: Power Series Solution of Differential Equations Introduction to Power Series Methods Solving Differential Equations Using Power Series Finding the Coefficients of a Power Series Solution Step-by-Step Solutions of Differential Equations Important Concepts and Examples This lecture will help you understand the power series method and learn how to apply it to solve differential equations. 👍 Like, Share, and Subscribe for more Mathematics lectures, concept-based classes, and competitive exam preparation with GP Sir. #DifferentialEquation #PowerSeriesSolution #DifferentialEquation2 #Mathematics #GPSir #DifferentialEquations #PowerSeries 📲 Enroll Now & Boost Your Preparation with MathsCare! 👉 Android: https://bit.ly/3OvaLIX 👉iOS: https://bit.ly/45juySm 📞 Enquiry: 9571085397 00:00 Introduction 00:03 Power Series Solution for Differential Equations — Overview 01:32 Power Series Solution Method — Concept & Theory 01:55 Example 1: y'' + y = 0 — Solution by Series 03:00 Ordinary Points vs Singular Points — Classification 05:01 Coefficient of xⁿ Method — Core Technique 09:24 Example 2: (x² + 1)y'' + xy' − xy = 0 10:56 Critical Rule — Powers of x Must Be Non-Negative 13:51 Solving Recurrence Relations — Finding Coefficients 18:48 Example 3: Power Series About x = 1 19:57 Substitution Technique — Using t = x − 1 28:05 Closing & Course Information Get CSIR NET, IIT JAM, GATE, RPSC Courses, Test Series, Video Lectures, etc on our Mathscare App - 👉 Android - https://play.google.com/store/apps/de... 👉 IOS - https://apps.apple.com/in/app/mathsca... 🔹 Telegram Channel - https://telegram.me/mathsbygpsir 🔹WhatsApp Channel - https://whatsapp.com/channel/0029Va52... 📚 Our Book Publications 🔹 Short Notes Booklet for CSIR NET, IIT JAM, GATE, CUET PG, etc Link - https://app.mathscare.com/courses/537077 🔹 Combat Test Series General Aptitude for CSIR NET, GATE & CUET Link - https://app.mathscare.com/courses/537069 🔹 Combat Test Series CSIR-NET/ JRF Mathematics Link - https://app.mathscare.com/courses/537074 🔹 CSIR NET Combo of 3 at Rs 700 - https://app.mathscare.com/courses/538681 🔹 CSIR NET Combo of 2 at Rs 450 - https://app.mathscare.com/courses/538687 🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹🔸🔹 👤 My Social Media Handles 📌 GP Sir Instagram:   / dr.gajendrapurohit   📌 GP Sir Facebook Page:   / drgpsir   📌 Join GP Sir Telegram Group:- https://telegram.me/mathsbygpsir 📌 Website: https://www.mathscare.com/ 📌App: https://play.google.com/store/apps/de... ✅Our YouTube Channels 📌Dr.Gajendra Purohit - GATE / IIT JAM / CSIR NET - https://bit.ly/3Kccgej 📌Dr.Gajendra Purohit Exam Prep - https://bit.ly/3ZyDBfb 📚 Important Course Playlists ▶️ Link to B.Sc. Maths Playlist: https://bit.ly/3cAg1YI ▶️ Link to Engineering Maths Playlist: https://bit.ly/3thNYUK ▶️ Link to IIT-JAM Maths Playlist: https://bit.ly/3tiBpZl ▶️ Link to GATE (Engg.) Maths Playlist: https://bit.ly/3eEI3VC ▶️ Link to IAS Optional Maths Playlist: https://bit.ly/3vzHl2a ▶️ Link To CSIR NET Maths Playlist: https://bit.ly/3rMHe0U ▶️ Link to Short Tricks for IIT JAM, CSIR NET & GATE Playlist - https://bit.ly/3LVfgge ▶️ Link to General Aptitude Playlist - https://bit.ly/42KAQKa ▶️ Link to IIT JAM, GATE, CSIR NET, NBHM, SET PYQ Series - https://bit.ly/3lHBNSX ▶️ Link to Conceptual Question Series - https://bit.ly/3JOpbkV ▶️ Link to Motivational Videos & Tips For Students Playlist - https://bit.ly/3tdAGbM 📚 Following Topics Are Also Available ▶️Linear Algebra: https://bit.ly/3qMKgB0 ▶️Abstract Algebra Lectures: https://bit.ly/3rOh0uS ▶️Real Analysis: https://bit.ly/3tetewY ▶️Complex Analysis: https://bit.ly/3vnBk8D ▶️Differential Equation: https://bit.ly/38FnAMH ▶️Partial Differentiation: https://bit.ly/3tkNaOV ▶️Numerical Analysis: https://bit.ly/3vrlEkA ▶️Operation Research: https://bit.ly/3cvBxOq ▶️Statistics & Probability: https://bit.ly/3qMf3hf ▶️Integral Calculus: https://bit.ly/3qIOtFz ▶️Differential Calculus: https://bit.ly/3bM9CKT ▶️Multivariable Calculus: https://bit.ly/3qOsEEA ▶️Vector Calculus: https://bit.ly/2OvpEjv Thanks For Watching My Video 🙏🏻 Like, Share & Subscribe 💯 Dr.Gajendra Purohit