Part B$1.$ Consider a plane wall with thickness $L(m),$ and thermal conductivity $k(\frac{W}{m}-K)$ as shown in Figure $1.$ The left side of the wall is subjected to a fluid flow at $T_{}$ and a convection heat transfer coefficient of $h.$ Heat is generated uniformly inside of the plate at a volumetric rate of $q_0\frac{W}{m^3}.$ At steady operating conditions, the right$-$side surface temperature of the plate is measured to be $T_5.$ Assuming the height and length of the wall are much larger than the thickness L $,$ and that $h,T{T}_c,L,k,q_0$ and $T_s$ are known quantities. Express the assumptions, differential equation and two boundary conditions for heat conduction through the wall. $($Don$\text{'}$t solve the equation$)$

Assumption; $1$D$,$ steady state, constant properties. $k\frac{d^{2}T}{d{x}^2}+q_0=0.$

Please show equations used and detailed solution. Please explain your reasoning. Thank you.