The temperature distribution in a tapered conical cooling fin (Fig. P24.10) is described by the following differential equation, which has been nondimensionalized: dầu + (2)(du - - (²) (du - pu) = 0 dx² dx where u = temperature (0 ≤ u≤ 1), x = axial distance (0 ≤x≤ 1), and p is a nondimensional parameter that describes the heat transfer and geometry: p = hL 1+ 4 2m² where h = a heat transfer coefficient, k = thermal conductivity, L = the length or height of the cone, and m = the slope of the cone wall. The equation has the boundary conditions: u(x = 0) = 0 u(x = 1) = 1 Solve this equation for the temperature distribution using finite-difference methods. Use second-order accurate finite-difference formulas for the derivatives. Write a computer program to obtain the solution and plot temperature versus axial distance for various values of p = 10, 20, 50, and 100. FIGURE P24.10 x= u(x = 1)=1 J u(x = 0) = 0