JUNE 2025,DEC 2024,JUNE 2024,NOV 2023,JUNE 2023

1. Ordinary Differential Equations (ODE) ⭐⭐⭐

(A) Basic Methods

• Taylor’s Series Method
• Euler’s Method ⭐
• Modified Euler’s Method ⭐

JUNE 2025-Modified Euler’s Method ⭐

DEC 2024-Euler’s Method ⭐

NOV 2025-Modified Euler’s Method ⭐

JUNE 2023-Euler’s Method ⭐ AND -Modified Euler’s Method ⭐

(B) Advanced Method ⭐⭐⭐

• Runge-Kutta Method (4th Order) ⭐⭐⭐ • First order ODE • Second order ODE

JUNE 2025-Runge-Kutta Method (4th Order) ⭐⭐⭐

DEC 2024-Runge-Kutta Method (4th Order) ⭐⭐⭐

JUNE 2024-Runge-Kutta Method (4th Order) ⭐⭐⭐

NOV 2023-Runge-Kutta Method (4th Order) ⭐⭐⭐

(C) Predictor-Corrector Methods ⭐⭐