Modified Euler’s Method | Solve dy/dx = x² + y | VTU Important Problem

🔥 Modified Euler’s Method | Important VTU Numerical Methods Problem In this video, we solve the differential equation dy/dx = x² + y, y(0) = 1 using the Modified Euler’s Method to compute: ✅ y(0.1) ✅ Step size h = 0.05 This is an important Engineering Mathematics Numerical Methods problem frequently asked in VTU and other university examinations. The complete Modified Euler’s Method procedure is explained step-by-step for easy understanding and exam preparation. 📘 Topics Covered: ✔ Modified Euler’s Method ✔ Predictor–Corrector Technique ✔ Numerical Solution of Differential Equations ✔ Numerical Methods ✔ Engineering Mathematics ✔ Step-by-Step Calculation ✔ VTU Important Problem 🎯 Useful For: ✅ VTU CBCS & 2025 Scheme Students ✅ 1BMATS201 – Numerical Methods ✅ 1BMATE201 – Calculus, Laplace Transforms and Numerical Techniques ✅ 1BMATM201 – Numerical Methods 2 ✅ 1BMATC201 – Numerical Methods 2 ✅ Internal Assessment Tests ✅ Semester End Examination (SEE) 📚 Subject-wise Module Details 📘 Subject Code: 1BMATS201 Module 5: Numerical Integration and Numerical Solution of Differential Equations 📘 Subject Code: 1BMATE201 Module 4: Numerical Methods 2 📘 Subject Code: 1BMATM201 Module 5: Numerical Methods 2 📘 Subject Code: 1BMATC201 Module 3: Numerical Methods 2 ━━━━━━━━━━━━━━━━━━━━━ 📙 All 1BMATS201 Playlists: M1:    • 1BMATS201 Module-1: Introduction to Numeri...   M2:    • 1BMATS201 Module-2: Numerical solutions fo...   M3:    • 1BMATS201 Module-3: Interpolation   M4:    • 1BMATS201 Module-4: Differential Equations...   M5:    • 1BMATS201 Module-5: Numerical Integration ...   ━━━━━━━━━━━━━━━━━━━━━ 📙 All 1BMATE201 Playlists: M1:    • 1BMATE201 Module 1 | Double Integrals, Tri...   M2:    • Vector Calculus & Applications | VTU 1BMAT...   M3:    • 1BMATE201 Module 3 | Numerical Methods I |...   M4:    • 1BMATE201 Module 4 | Numerical Methods II ...   M5:    • 1BMATE201 Module-5: Laplace transforms   ━━━━━━━━━━━━━━━━━━━━━ 🎥 Watch Next: ▶ Runge–Kutta Method (RK4) ▶ Taylor’s Series Method ▶ Milne’s Predictor Corrector Method ▶ Adams–Bashforth Method ▶ Numerical Integration Methods 👉 Follow VTU Maths with Muheeb (Mathematics Tutor) on WhatsApp https://whatsapp.com/channel/0029Vb6c... 👉 Get all VTU Maths updates and video links on Telegram https://t.me/vtumathswithmathematicst... 💎 Support Us: Join our channel and get access to exclusive perks 👇 🔗    / @officialmathematicstutor   #ModifiedEulersMethod #NumericalMethods #VTUMaths #1BMATS201 #EngineeringMathematics #DifferentialEquations #MathematicsTutor