Consider the differential equation \frac{d^2 y(t)}{d t^2}+2 \frac{d y(t)}{d t}+y(t)=\delta(t) with {y(t) |}_{t=0^{-}}=-2 and {\frac{d y}{d t} |}_{t=0^{-}}=0 The numerical value of \frac{dy}{dt}|._{t = 0^{ + }} is

GATE Electronics and Communications (EC) 2012 Solved Paper

Question : 44 of 65

Marks: +1, -0

Consider the differential equation

\;{d^2 y(t)}/{d t^2}+2 \;{d y(t)}/{d t}+y(t)=

δ(t)

with

{y(t) |}_{t=0^{-}}=-2

and

{\;{d y}/{d t} |}_{t=0^{-}}=0

The numerical value of

\;{dy}/{dt}|._{t = 0^{ + }}

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