Central Difference Operator Identity | UPSC ISS 2020 Paper-1 | Problem-63 | RitwikMath

Learn an important identity involving the Central Difference Operator in this quick Numerical Analysis PYQ solution. In this video, we apply the standard second central difference formula to evaluate:
\[
\delta^2 y_5
\]

Perfect for students preparing for UPSC Statistics Optional, ISS, CSIR NET, GATE, IIT JAM, and other mathematics/statistics competitive exams.

📌 Central Difference Operator:
\[
\delta y_i
=
y_{i+\frac12}-y_{i-\frac12}
\]

📌 Standard Identity:
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Substituting:
\[
i=5
\]

we get:
\[
\delta^2 y_5
=
y_6-2y_5+y_4
\]

📌 Final Answer:
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📌 Concepts Explained:
- Central Difference Operator
- Second Difference
- Finite Difference Methods
- Difference Identities
- Numerical Analysis PYQ
- Difference Calculus

🎯 Useful For:
- UPSC Statistics Optional
- ISS Exam
- CSIR NET Mathematical Sciences
- GATE Mathematics
- IIT JAM
- Engineering Mathematics
- Applied Mathematics Students

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