Write equations for the darkened nodes in the grid in Figure. Note that all units are cgs. The coefficient of thermal conductivity for the plate is 0.75 cal/(s · cm · °C), the convection coefficient is h_c = 0.015 cal/(cm² · C · s), and the thickness of the plate is 0.5 cm.

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Convection, q, = -h(T, - 7); T, - 10°C A.r = 20 j= 3 Ar - 40 |Ау в 30 4y = 15 4 5 i= 0 2 Dirichlet, T= 100°C Heat source, g. - 10 cal/cm?/s Dirichlet, Ta 50°C Insulated