Solve First-Order ODE | Modified Euler's Method | dy/dx = x − y² | All Steps

Start learning Numerical Solution of Differential Equations using Modified Euler’s Method with clear step-by-step calculations and exam shortcuts. Perfect for 1BMATS201, 1BMATE201, 1BMATC201, and 1BMATM201 students. 📌 Question: Using Modified Euler’s method, find y(0.2) correct to four decimal places for dy/dx = x − y², y(0) = 1 taking h = 0.1. 🎯 In this video: • Introduction to Modified Euler’s Method • Predictor and corrector steps clearly explained • Perform iterative corrections • Achieve higher accuracy (four decimal places) • Solve efficiently for VTU exams ━━━━━━━━━━━━━━━━━━━━━ 📚 Watch Next: 1️⃣ Next Video (Start Here) https://youtu.be/oJyeJD3f47M 2️⃣ Continue Learning https://youtu.be/4pbMbLYyku0 3️⃣ More Practice https://youtu.be/TOnLoue7re4 ━━━━━━━━━━━━━━━━━━━━━ 📘 Complete Module Playlist (Start to Finish): 1BMATS201 Module-5: Numerical Integration & Differential Equations https://www.youtube.com/playlist?list=PLM9RnGtTy9__dZUePmo6ZM9FlhGm_UVhA ━━━━━━━━━━━━━━━━━━━━━ 📙 More Practice (Modified Euler Method): 1️⃣ https://youtu.be/FqDg7LLd0Ww 2️⃣ https://youtu.be/vf5Zk_AUIAI 3️⃣ https://youtu.be/rtacPsRTZ28 ━━━━━━━━━━━━━━━━━━━━━ 🚀 Next Step: Continue with Modified Euler problems to strengthen predictor-corrector techniques. 📌 Don’t stop here: Watch all Modified Euler videos in order before moving to Milne’s method. ━━━━━━━━━━━━━━━━━━━━━ 👉 Follow VTU Maths with Muheeb (Mathematics Tutor) on WhatsApp https://whatsapp.com/channel/0029Vb6ct0L30LKOlXViVx3Y 👉 Get all VTU Maths updates and video links on Telegram https://t.me/vtumathswithmathematicstutor 💎 Support Us: Join our channel and get access to exclusive perks 👇 https://www.youtube.com/channel/UC_OTtwh8_-q-bA7DoS--syg/join ━━━━━━━━━━━━━━━━━━━━━ 📙 All 1BMATS201 Playlists: M1: https://www.youtube.com/playlist?list=PLM9RnGtTy9_-Ggwfpp1MfXFXDccYlQCcL M2: https://www.youtube.com/playlist?list=PLM9RnGtTy9__Rd_2yU_e97MMeEDm15kZd M3: https://www.youtube.com/playlist?list=PLM9RnGtTy9_9KRCs7Z3cK6_NQM9sM6bfS M4: https://www.youtube.com/playlist?list=PLM9RnGtTy9__bUGakyK0jOEwI5AeE_KmD M5: https://www.youtube.com/playlist?list=PLM9RnGtTy9__dZUePmo6ZM9FlhGm_UVhA ━━━━━━━━━━━━━━━━━━━━━ 📙 All 1BMATE201 Playlists: M1: https://www.youtube.com/playlist?list=PLM9RnGtTy9_9kjtYV0wD2SbATKBrbb8Bl M2: https://www.youtube.com/playlist?list=PLM9RnGtTy9__tzYCTWaHZ6-crGFv0jAhG M3: https://www.youtube.com/playlist?list=PLM9RnGtTy9_-E3vGHBl6iKjvOZOvrvZOv M4: https://www.youtube.com/playlist?list=PLM9RnGtTy9_-v6muu8oOQFH5MNY7PId5S M5: https://www.youtube.com/playlist?list=PLM9RnGtTy9_9tvvefAtfHOHGdFoLsUeBQ ━━━━━━━━━━━━━━━━━━━━━ #ModifiedEulerMethod #DifferentialEquations #VTUMaths #NumericalMethods #EngineeringMathematics #PredictorCorrector #VTUExam