Unformatted text preview: )] , where T D is the desired temperature 16 ◦ C and K U is a proportionality constant. We will assume that H ( t ) = 0 and that the outside temperature M ( t ) is a constant 35 ◦ C. The time constant for the van is 1 /K = 2 hr, hence K = 0 . 5. Since the time constant for the van with its air conditioning system is 1 /K 1 = 1 / 3 hr, then K 1 = K + K U = 3. Therefore, K U = 3 − . 5 = 2 . 5. The temperature in the van is governed by the equation dT dt = (0 . 5)(35 − T ) + (2 . 5)(16 − T ) = 57 . 5 − 3 T. 121...
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 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations, Mathematical constant, Hour, KU

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