Please explain step by step how to solve, including whether you used tables.

Consider a steam pipe of length L $=30$ ft$,$ inside radius r$=2$ in$,$ outside radius $2\mathrm{.}4$ in$,$ and thermal conductivity k $=7\mathrm{.}2$ Btu$/$h ft $\backslash$deg F$.$ Steam flows through the pipe at an average temperature of $250\backslash$deg F$,$ and the average convection heat transfer coefficient at the outer surface is given as h $=1\mathrm{.}25$ Btu$/$h ft$^2$ F$.$ If the average temperature at the outer surface of the pipe is T$2160\backslash$deg F: a$)$ express the differential equation and boundary conditions for steady one$-$dimensional heat conduction through the pipe, b$)$ obtain a relation for the temperature variation in the pipe by solving the differential equation, and c$)$ evaluate the rate of heat loss from the steam.