EC > GATE 2014 SET-1 > LTI Systems
A system is described by the following differential equation, where u(t) is the input to the system and y(t) is the output of the system.
ẏ(t) + 5y(t) = u(t)
When y(0) = 1 and u(t) is a unit step function, y(t) is
A
0.2 + 0.8e-5t
B
0.2 - 0.2e-5t
C
0.8 + 0.2e-5t
D
0.8 - 0.8e-5t

Correct : a

Similar Questions

Let an input x[n] having discrete time Fourier transform X(ejΩ) = 1 - e-jΩ + 2e-3jΩ be passed through an LTI system. The frequency response of the LTI system is...
#133 MCQ
Let x(t) = 10 cos(10.5Wt) be passed through an LTI system having impulse response h(t) = π(sin Wt/πt)2cos 10Wt. The output of the system is
#134 MCQ
Which one of the following is an eigen function of the class of all continuous-time, linear, time-invariant systems (u(t) denotes the unit-step function)?
#615 MCQ

Related Topics

No tags found

Unique Visitor Count

Total Unique Visitors

Loading......