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Unformatted text preview: H ( t ) = 2 2 = 4 per hr . We are given that T (0) = 110, and that the temperature M ( t ) outside the tank is a constant 80 . Hence the temperature in the tank is governed by dT dt = 1 64 [80 T ( t )] + 4 = 1 64 T ( t ) + 5 . 25 , T (0) = 110 . Solving this separable equation gives T ( t ) = 336 + Ce t/ 64 . To Fnd C , we use the initial condition to see that T (0) = 110 = 336 + C C = 226 . This yields the equation T ( t ) = 336 226 e t/ 64 . 122...
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This note was uploaded on 03/29/2010 for the course MATH 54257 taught by Professor Hald,oh during the Spring '10 term at University of California, Berkeley.
 Spring '10
 Hald,OH
 Math, Differential Equations, Linear Algebra, Algebra, Equations

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