# 45. A system is described by the following dif...

45. 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.

y(t)+5y(t)=u(t)

When y(0) = 1 and u(t) is a unit step function, y(t) is

(B) 0.2-0.2e-5t

(D) 0.8-0.8e-5t

(C) 0.8+0.2e-5t

(A) 0.2+0.8e-5t

Hint: