stuck on part 3

can someone also confirm my part 2 is correct ??

Consider the wessel shown in Figure 1. [CME3009] b) TRo-wricu the difecential ecuation cotainod in part (a) as a traneler function asing Laplaco transionms. [10 marks] c) By considering ser-peint changes only, Ehow (mathematically) that for any change in sot-point, the invol in the vessel will oscitiate continuously if an integral only feedback oontrol algorithrn is used. [40 marks] d) If the feedback control law wero changed to a proportional Figure t:A vessal canfaining liquld with two inint thesess and a single outet only control akgoritum, analysef (mathematicaliy) the response charactoristics of the syshom when subjected 10 a sitep-change in sat-pont: In Figure 1, in (m), is the lavel of the lieuid in the wessel. You may [30 marks] assume that any variation in the liquid lovel, h2 docs not affocl the exit flowrate, qe(m2s1 which is being purmped out of tho vessel at a constant rate. The levol is to be controllod using the inlet volumetric flow-rate, of (m35). There is an additional stromm entering tho vossel at a flow-rate of, q(m3s1). This is a disfurbance fo the systern. Aseuming outleteflaw rate is launta. qo=kih.Adtdh=qi+qdkih. b) Rewite the ciferental equztion dotcine 9 in pret (a) as a tronefifrofion lising laplace tranferms