Official PYQ · 2006Set 1 · Q27Differential EquationsMCQ1 mark

GATE EC 2006 Set 1 Q27 — Differential Equations

For the differential equation $\dfrac{d^2 y}{d x^2}+k^2 y=0$ , the boundary conditions are

$y=0$ for $x=0$ , and
$y=0$ for $x=a$

The form of non-zero solutions of $y$ (where $m$ varies over all integers) are

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Answer: A

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Published 10 Oct 2026

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