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...

A=12 B=12 C=7 D=7

Extracted text: 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 A B- U – C(U – 20D)e dt te The initial tube temperature is U(0) = A. The heat exchanger constants are A, B, C, and D.- Insert YOUR parameter values A, B, C, and D into the ODE and initial condition to define YOUR initial value problem (IVP). 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.