A function y(t) satisfies the following differential equation:\(\frac{{dy\left( t \right)}}{{dt}} + y\left( t \right) = \delta \left( t \right)\)Where δ(t) is unit impulse function and u(t) is unit step function. Assuming zero initial conditions, what is y(t)?

A function y(t) satisfies the following differential equation:\(\frac{

1.	A function y(t) satisfies the following differential equation:\(\frac{{dy\left( t \right)}}{{dt}} + y\left( t \right) = \delta \left( t \right)\)Where δ(t) is unit impulse function and u(t) is unit step function. Assuming zero initial conditions, what is y(t)?
A.	et
B.	e-t
C.	et u(t)
D.	e-t u(t)
Answer» E.