Two pressure vessels in a plant are connected by a series of pipes and filters. The pressures in each vessel are differe
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Two pressure vessels in a plant are connected by a series of pipes and filters. The pressures in each vessel are differe
Two pressure vessels in a plant are connected by a series of pipes and filters. The pressures in each vessel are different in this dynamic situation. The pressures, relative to a constant reference level, in vessel 1 and vessel 2 are given by P1(t) and p2(t) respectively at time t. They are governed by the following pair of first order, coupled differential equations: dtdp1=ap1+bp2dtdp2=cp1+dp2 where a=−28,b=6,c=−180,d=38 (1) Find the pressures in each pressure vessel if the initial pressures in vessel 1 and vessel 2 are p1=−10 and p2=6. For this part of the question give the pressure in pressure vessel 1 as a function of t Omit the "p1 =" (B marks) This question accopts numbers or formulas. Plot I Help I Switch to Equation Editor I Preview (ii) What is pm2 as a function of t? Omit the " P2= = (8 marks)
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