Numerical Methods — CSIR Net PYQ (Question 2)

A Numerical Methods previous-year question (PYQ) from Mathematical Physics (CSIR Net). Read the question, check the correct answer, then practise the full topic.

Question 2 of 16 · 5.0 marks

Consider the differential equation

\frac{d y}{d x} = x^{2} - y

with the initial condition

y = 2

x = 0

. Let

y_{(1)}

and

y_{(1/2)}

be the solutions at

x = 1

obtained using Euler's forward algorithm with step size 1 and

\frac{1}{2}

respectively.
The value of

(y_{(1)} - y_{(1/2)}) / y_{(1/2)}

1 $- 1/2$
2-1
3 $1⁄2$
41

Correct answer: Option 2

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This Numerical Methods PYQ is part of the Mathematical Physics section of CSIR Net. Browse more Numerical Methods questions or join the PhysicsByAaryan live batch for full conceptual coverage.