IGNOU BMTE 144 2026 - Solve the initial value problem using Euler method

Question

Solve the initial value problem using Euler method

$$y' = \frac{1}{x^2 - 3y}, y(3) = 2.$

Find y(3.1) taking $h = 0.1$ .

09 Jan 2026

Answer :

Word Count : 132

We are asked to solve the initial value problem [ y' = \frac{1}{x^2 - 3y}, \quad y(3) = 2 ] using the Euler method with step size (h = 0.1) to find (y(3.1)). The Euler formula is: [ y_{n+1} = y_n

______ _______ ___ ______ ____ ________.
_______ __________ _________ ____ __________ __________ __________ ______ __________.
________ _____ _____ ______ __________.
______ ______ ______ ___ _______ _________ ___ _____ _____ ________.
__________ _____ __________ ____ __________ _________.
________ _______ _____ ____ _____ _________ ___ __________.
________ ____ ________ ____ ________ _______.
____ _________ ________ _______ _______ _____ __________ ___ ______ ____ _________.
________ _______ _____ __________ _________ _____ _______ ______ ________ ___ ___ _______.
_________ ___ ____ ______ ______.
__________ ______ ______ ___ ___ _________ ______.
___ _______ ____ ______ ____ __________.

IGNOU ACADEMY

Your IGNOU journey, made easier.