The following differential equation arises in connection with heat transfer in an insulated rod:…


The subjoined differential equation arises in connection with ardor sell in an insulated rod:

where T is the latitude, k the ardent conductivity, and q the ardor period. Take the subjoined values for the data: q = 0, q = 0, L = 0.1 m, k=O.01 Wm-Ioe-I, P=25Wm-1 oC-l .β=25  W m-2

oC-1, and TO=50°C and T~=5OC. Solve the amount using two rectirectilinear restricted elements for latitude values at x = ½ L and L.