A first order linear equation in the form y$^(\text{'})+$p$($x$)$y$=$f$($x$)$ can be solved by finding an integrating factor $\backslash$mu $($x$)=$exp$(\backslash$int p$($x$)$dx$)$

$(1)$ Given the equation y$^(\text{'})+6$y$=72$x find $\backslash$mu $($x$)=$

$(2)$ Then find an explicit general solution with arbitrary constant C$.$

y$=$

$(3)$ Then solve the initial value problem with y$(0)=2$

y$=$