3. Starting from the generalized heat conduction equation in the cartesian system given below: ∂/∂x (ky ∂T/∂x)+ ∂/∂y (k, ∂T/∂y)+ ∂/∂z (kz ∂T/∂z)+ q˙=rhoCₚ , ∂T/∂t 1 a) Write the simplified differential equation for 1-D transiemt conduction with constant conductivity and uniform generation (in x direction). What is T a function of? Write the final equation in terms of thermal diffusivity (α). What are the units of α ? b) Now if this is a 1-D steady state problem with constant conductivity and uniform generation, how will the above equation simplify? c) For case b above, if the temperature distribution in a slab of thickness L and conductivity k is given as: T(x)=-A/ka₂ e−π+Bx+C, where a,A,B and C are known constants find expressions for the following: i) Heat flux at x−0 and x−L