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)?

1
et
2
e-t
3
et u(t)
4
e-t u(t)

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