Improved Euler's Method | Solve dy/dx + y/x = 1/x² | VTU Numericals

🎯 WATCH NEXT 📘 Previous Video: Simpson's 1/3 Rule (Q9a) 👉    • How to Solve Simpson's 1/3 Rule Problems |...   📘 Next Video: Fourth Order Runge-Kutta Method (Q9c) 👉    • VTU Runge–Kutta Problem | Question 9(c) 20...   ━━━━━━━━━━━━━━━━━━ 📚 Complete Model Question Paper Playlist 👉    • 1BMATS201 Numerical Methods | VTU Model Qu...   ━━━━━━━━━━━━━━━━━━ 📘 VTU Model Question Paper – 2025 (Question Paper Information) Course: 1BMATS201 – Advanced Calculus and Numerical Methods Paper: Model Question Paper–I (2025 Scheme) Question No.: 9(b) Question: Use Modified Euler’s method to compute y(1.2) correct to five decimal places given that dy/dx + y/x = 1/x² and y = 1 at x = 1, taking h = 0.1. In this video, we solve the above VTU Model Question Paper problem using Modified Euler's Method (Improved Euler Method) step by step. This Numerical Methods question is important for VTU Semester examinations and helps students understand predictor-corrector techniques used for solving first-order differential equations. ━━━━━━━━━━━━━━━ 🔥 Most Important Playlist (Must Watch) 1BMATS201 Numerical Methods | VTU Model Question Paper 1 (2025 Scheme) Solved 👉    • 1BMATS201 Numerical Methods | VTU Model Qu...   ━━━━━━━━━━━━━━━━━━ 📚 MODULE-1: INTRODUCTION TO NUMERICAL METHODS 🔥 Most Important Playlist (Newly Updated) VTU Numerical Methods Problems Solved | Bisection, Regula Falsi & Newton–Raphson 👉    • 1BMATS201 Module 1 | Numerical Methods | B...   🔥 Most Important Playlist 1BMATS201 Module-1: Introduction to Numerical Methods | Newton Raphson Method & Regula Falsi Method | VTU 👉    • 1BMATS201 Module-1: Introduction to Numeri...   ━━━━━━━━━━━━━━━━━━ 📚 MODULE-2: NUMERICAL SOLUTIONS FOR SYSTEM OF LINEAR EQUATIONS 🔥 Most Important Playlist (Newly Updated) 1BMATS201 Module-2: Numerical Solutions for System of Linear Equations | VTU 👉    • 1BMATS201 Module-2: Numerical solutions fo...   ━━━━━━━━━━━━━━━━━━ 📚 MODULE-3: INTERPOLATION 🔥 Most Important Playlist (Newly Updated) Interpolation Methods in Numerical Methods | Newton Forward, Divided Difference & Lagrange 👉    • Interpolation Methods in Numerical Methods...   🔥 Most Important Playlist (Numerical Methods) Newton's Forward and Backward Interpolation 👉    • ( Numerical Methods ) Newton's Forward And...   ━━━━━━━━━━━━━━━━━━ 📚 MODULE-4: DIFFERENTIAL EQUATIONS OF FIRST AND HIGHER ORDER 🔥 Most Important Playlist (Newly Updated) 1BMATS201 Bernoulli Differential Equations 🔥 | All Important Problems | VTU Module 4 👉    • 1BMATS201 Bernoulli Differential Equations...   🔥 Most Important Playlist 1BMATS201 Module-4: Differential Equations of First and Higher Order 👉    • 1BMATS201 Module-4: Differential Equations...   ━━━━━━━━━━━━━━━━━━ 📚 MODULE-5: NUMERICAL INTEGRATION AND NUMERICAL SOLUTION OF DIFFERENTIAL EQUATIONS 🔥 Most Important Playlist (Newly Updated) VTU Numerical Solution of Differential Equations | Taylor Series, RK4, Modified Euler & Milne Method | 1BMATS201 1BMATE201 1BMATC201 1BMATM201 👉    • VTU Numerical Solution of Differential Equ...   🔥 Most Important Playlist 1BMATS201 Module-5: Numerical Integration and Numerical Solution of Differential Equations 👉    • 1BMATS201 Module-5: Numerical Integration ...   ━━━━━━━━━━━━━━━━━━ ━━━━━━━━━━━━━━━━━━ 📢 Join Our Student Communities 📱 WhatsApp Channel https://whatsapp.com/channel/0029Vb6c... 📱 Telegram Channel https://t.me/vtumathswithmathematicst... ━━━━━━━━━━━━━━━━━━ 📞 Engineering Mathematics Tuition 9886525526 ━━━━━━━━━━━━━━━━━━ 💎 Support Us Join Channel Membership    / @officialmathematicstutor   ━━━━━━━━━━━━━━━━━━ #ModifiedEulersMethod #NumericalMethods #1BMATS201 #VTUMaths #EngineeringMathematics #DifferentialEquations #VTU2025Scheme