Chapter 12.2, Problem 48ES

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.

$\text{<msup> y <mo> ″ </mo> </msup>}\left(t\right)=12t^2\text{i}-2t\text{j},\text{y}\left(0\right)=2\text{i}-4\text{j,}\text{<msup> y <mo> ′ </mo> </msup>}\left(0\right)=0$