3. Let's consider some specific examples of the influence of the ambient tem- perature on the heated plate. The differential equation is (3.3.10) and assume that the ends are insulated (3.3.9). Consider the following profiles for the ambient temperature. (27 (2) dx -(x) 3 T(x) = T (x). - (3.3.10) dT dx - (0) = dT dx - (L) = 0. (3.3.9) (a) (b) To(x) = T(x)/a 25 1.5 1 0.5 O Construct the solutions and compare the results by graphing them. Answer: The profiles for the two cases are shown below for the choice BL = 5. O To(x)= = a + a sin 2a 4a (2x/L-1), 0.2 0.4 (7). x/L for L/2 |2x - L\