Official PYQ · 2015Set 2 · Q46Differential EquationsMCQ2 marks

GATE EC 2015 Set 2 Q46 — Differential Equations

The state variable representation of a system is given as

$\dot{x} = \begin{bmatrix} 0 &1 \\ 0 &-1 \end{bmatrix}\: ; x(0)=\begin{bmatrix} 1\\0 \end{bmatrix}$

$y=\begin{bmatrix} 0 &1 \end{bmatrix} x$

The response $y(t)$ is

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Answer: D

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Published 10 Oct 2026

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