A = 4 B-7 C-7 B-2 Question 3: Laplace Transforms %3D A heat exchanger warms a fluid flowing through a tube by a hot fluid of temperature 20D circulating in a surrounding shell'. The outlet...

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Extracted text: A = 4 B-7 C-7 B-2 Question 3: Laplace Transforms %3D A heat exchanger warms a fluid flowing through a tube by a hot fluid of temperature 20D circulating in a surrounding shell'. The outlet temperature, U, of the tube fluid is governed by the ordinary differential equation (ODE) dU = Ae¯B – U – C (U – 20D) dt The initial tube temperature is U(0) = A. The heat exchanger constants are A, B, C, and D. (i) Insert YOUR parameter values A, B, C, and D into the ODE and initial condition to define YOUR initial value problem (IVP). (ii) Use Laplace transforms to solve YOUR IVP for the tube outlet temperature as a function of time and write down the steady-state value of the tube outlet temperature.