Solve the Differential Equation with the Given Initial Condition $y ^ { \prime } = y + 1 , y ( 0 ) = 1$

Multiple Choice

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

A) y = $\mathrm { e } ^ { \mathrm { t } }$ - 2
B) y = 2 $\mathrm { e } ^ { \mathrm { t } }$ -1
C) y = $t ^ { 2 }$ + 1
D) y = t + 1