GATE Electronics and Communications (EC) 2013 Solved Paper

Question : 47 of 65

Marks: +1, -0

A system described by a linear, constant co-efficient differential, ordinary, first order differential equation has an exact solution given by

y(t)

for

t > 0

, when the forcing function is

x(t)

and initial condition is

y(0)

. If one wishes, to modify system so that the solution becomes

−2y(t)

for

t > 0

we need to

Change initial condition to $−y(0)$ and forcing function to $2x(t)$
Change initial condition to $2y(0)$ and forcing function to $−x(t)$
Change initial condition to $j{√{2y (0) }}$ and forcing function to $j{√{2x (t) }}$
Change initial condition to $−2y(0)$ and forcing function to $−2x(t)$

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