Picard’s Method | IVP | Second Approximation | UPSC ISS 2024 Paper-1 | Problem-61 | RitwikMath

In this video, we solve an important **Numerical Analysis / Differential Equations** problem using **Picard’s Iteration Method**.

Problem discussed:

\[
\frac{dy}{dx}=1+xy,\quad y(2)=0
\]

We find the **second approximation using Picard’s Method** and evaluate the value at \(x=3\).

This video is helpful for:

- UPSC Statistics Optional
- ISS Exam Preparation
- CSIR NET Mathematical Sciences
- GATE Mathematics / Statistics
- IIT JAM Mathematics & Statistics
- Numerical Analysis learners
- Differential Equations practice

## Topics Covered

- Initial Value Problems (IVP)
- Picard’s Iteration Formula
- Successive Approximation Method
- Numerical Analysis Concepts
- Step-by-Step Problem Solving
- Exam-Oriented Explanation

Watch till the end for a clear and easy solution.

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