Consider the following non$-$homogeneous first$-$order differential equation, where y$=$dydt$.$

y$+$y$=10$x$($t$)$x$($t$)=(1$fort$<0+1$fort$>0)$

y$(0)=10$

Find the value of the solution to this equation when y$($t$=2),$ or at the second time constant.