ODE Numerical Solution a) The concen function of time by At the initial time, 1-0, the salt concentration in tration of salt x in a homemade soap maker is given as a a) The x 37.5-3.5r the tank is...
Use the MATLAB:The concentration of salt in a homemade soap maker is given as a function of time by [dx/dt = 37.5 - 3.5x ] At the initial time (t = 0) , the salt concentration in the tank is 50 g/L. Using Euler method and a step size of (h = 1.5 min), what is the salt concentration after 3 minutes (compare the numerical integration result with exact solution result)? exact solution: x(t) = 10.714 + 39.286 e^-3.5 t
(a) Develop a transfer function that relates the concentration c2 in tank 2 to the concen tration x in the feed, that is, C2 (s)X(s) where C2 and X are deviation variables. For convenience, assume that the initial concentrations are x-C20 (b) If a unit-step change in x occurs, determine the time needed for c2 to reach 60 percent of its ultimate value for the cases where α--0, 1, and oo. (c) Sketch the response for α-00. Assume that each...
(1 point) A tank contains 50 kg of salt and 2000 L of water. A solution of a concentration 0.0125 kg of salt per liter enters a tank at the rate 7 L/min. The solution is mixed and drains from the tank at the same rate. (a) What is the concentration of our solution in the tank initially? concentration = !!! (kg/L) (b) Set up an initial value problem for the quantity y, in kg, of salt in the tank...