The heated rod from Problem 3 is subject to a volumetric heating h(x) = ho in...

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The heated rod from Problem 3 is subject to a volumetric heating h(x) = ho in units of [Wm3], as shown in the figure below. Under the heat supply the temperature of the rod changes along x with the temperature function T(x). The temperature T(x) is governed by the following equations: -x (9(x)) + h(x) = 0 PDE 9(x) = -k dT dx (4) Fourier's law of heat conduction where q(x) is the heat flux through the rod and k is the (constant) thermal conductivity. Both ends of the bar are in contact with a heat reservoir at zero temperature. T(x) h(x) I Determine: 1. Appropriate BCs for this physical problem. 2. The temperature function T(x). 3. The heat flux function q(x). X < 8 The heated rod from Problem 3 is subject to a volumetric heating h(x) = ho in units of [Wm3], as shown in the figure below. Under the heat supply the temperature of the rod changes along x with the temperature function T(x). The temperature T(x) is governed by the following equations: -x (9(x)) + h(x) = 0 PDE 9(x) = -k dT dx (4) Fourier's law of heat conduction where q(x) is the heat flux through the rod and k is the (constant) thermal conductivity. Both ends of the bar are in contact with a heat reservoir at zero temperature. T(x) h(x) I Determine: 1. Appropriate BCs for this physical problem. 2. The temperature function T(x). 3. The heat flux function q(x). X < 8