[理工] [工數]-ODE
看板Grad-ProbAsk作者miniye (很多事將會改變,唯讀記憶)時間15年前 (2010/09/09 20:00)推噓0(0推 0噓 0→)留言0則, 0人參與討論串265/280 (看更多)
Two different chemical solutions are pumped into a container of volume 100L, each at the rate of 5L/sec,and thoroughly mixed solution is pumped out of the container at the rate of 10L/sec. The inflow concentration of Chemical 1 is q1 (kg/L) and inflow concentration of Chemical 2 is q2 (kg/L).Denote the mass of Chemical 1 (in the container) by X1 (kg) and the mass of Chemical 2 by X2(kg). A catalyst in the container transforms Chemical 1 into Chemical 2 atthe rate of 0.4x(kg/sec).
(a)Formulate the 2 ×2 linear system of first order ODEs that X1 and X2 satisfy.
(b)Without finding the general solution, determine the steady-state solution f
or X1 and X2.
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