Modified Euler's Method to solve First Order Ordinary Differential Equation in Numerical Analysis 2

Modified Euler's Method to solve First Order Ordinary Differential Equation in Numerical Analysis 2 ‪@mutualacademy313‬ In this lecture, we cover the Modified Euler’s Method for solving first-order ordinary differential equations (ODEs) — an enhanced technique that provides a better approximation compared to the basic Euler’s method. It uses an iterative correction approach to refine the solution by evaluating the slope multiple times within a single step. We’ll explain the formula, derivation, and procedure with simple, exam-focused examples. This method is an essential part of Numerical Analysis 2, especially for students of BS Mathematics (8th Semester – GCUF) and MSc Mathematics (4th Semester). At Mutual Academy, our goal is to make higher mathematics easy and understandable through Urdu-English mix explanations. Subscribe now and follow the full series of differential equation solvers. Related Searches: Modified Euler’s method for ODE Iterative correction method numerical analysis Numerical solution of dy/dx First-order ODE modified Euler example Improved vs modified Euler method BS Math 8th semester GCUF MSc Math 4th semester Numerical Analysis 2 Numerical methods for solving differential equations Mutual Academy differential equations series Modified Euler formula step by step