Difficult# Linear System with Repeated E-value: A Component

DIFFEQ-Y$RMNT

Consider the following system of equations:

$$ \left\{\begin{array}{c} x_1'-3x_1+4x_2=0\\\ x_2'-x_1+x_2=0 \end{array} \right. $$

with the initial conditions $x_1(0)=1, x_2(0)=2$. Then, the function $x_2(t)$ is