Question Bank MCQ • 2 Marks Section 1: Mathematical Physics Differential equations

QB_PH_017: Differential equations

Question Statement

For Bessel functions of the first kind $J_n(x)$, the differential recurrence relation $\frac{d}{dx}[x^n J_n(x)]$ equals:
(A) x^n J_{n-1}(x)
(B) -x^n J_{n+1}(x)
(C) x^{-n} J_n(x)
(D) n x^{n-1} J_n(x)
Correct Answer
A
Verified Key

Step-by-Step KaTeX Derivation & Detailed Explanation

### Solution: Standard Bessel recurrence identity.
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