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Improved Euler's Method for Solution of First Order Ordinary Differential Equation ODE in Numberical Analysis 2
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In this lecture, we explain the Improved Euler’s Method (also called the Heun’s Method) for solving first-order ordinary differential equations (ODEs). This method gives more accurate results than the basic Euler’s Method by taking the average of slopes at the beginning and end of each interval.

We walk through the complete formula, explain its derivation and logic, and solve step-by-step examples to show how the method works in practice. This topic is vital for students of BS Mathematics (8th Semester – GCUF) and MSc Mathematics (4th Semester) in Numerical Analysis 2.

At Mutual Academy, we break down advanced math into simple concepts using a Urdu-English mix to help students deeply understand and apply each topic. Don’t forget to subscribe and follow the full series on Numerical Methods!

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