Consider the second order equation $y^{\text{'}\text{'}}+t{y}^{\text{'}}+y=0,y(0)=1,y^{\text{'}}(0)=0.($Assume that $y=y(t))$

a$.$ Convert this single equation into a system of two first$-$order differential equations by introducing the variable $x=y^{\text{'}}.($Your answer should have two first$-$order equations$).$