I want to solve this system using the Laplace transform $\displaystyle (y_1=y_1(t),y_2=y_2(t))$

$\displaystyle y_1=-y_1+y_2 \hspace{0.5cm} y_1(0)=0$

$\displaystyle y_2=2y_1 \hspace{1.5cm} y_2(0)=1$

Probably not the hardest of problems, but I'm not even sure where to start :P