Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = y ( t - 2 ) ; y ( 0 ) = 1$

Multiple Choice

Solve the differential equation with the given initial condition.
- $y ^ { \prime } = y ( t - 2 ) ; y ( 0 ) = 1$

A) y = $e \left[ \left( t ^ { 2 } / 2 \right) - 2 t \right]$ - 2t + 1
B) y = $\frac { t ^ { 2 } } { 2 }$ - 2t
C) y = $e \left[ \left( t ^ { 2 } / 2 \right) - 2 t \right]$
D) y = 0
E) none of these