Given the first order IVP y$+2$y$=\{5$x$4$e$2$x$,0$x$<10,$x$1$ with initial condition y$(0)=3.(1)$ Find the explicit solution on the interval $0$x$<1$

y$($x$)=$

$.$

$(2)$ Find the limx$1$y$($x$)=.(3)$ Then find the explicit solution on the interval x$1$

y$($x$)=$

$.$