Chapter 12.2, Problem 47ES

Solve the vector initial-value problem for $\text{y}\left(t\right)$ by integrating and using the initial conditions to find the constants of integration.

$\text{<msup> y <mo> ″ </mo> </msup>}\left(t\right)=\text{i}+e^t\text{j},\text{y}\left(0\right)=2\text{i},\text{<msup> y <mo> ′ </mo> </msup>}\left(0\right)\text{=j}$