4.14 A step change from 15 to 31 psi in actual pressure results in the measured response from a pressure-indicating element shown in Fig. E4.14. R (n Figure E4.14 (a) Assuming second-order dynamics, calculate all important parameters and write an approximate transfer function in the form P(s)R(s)=2s2+2s+1K where R is the instrument output deviation (mm), P is the actual pressure deviation (psi). (b) Write an equivalent differential equation model in terms of actual (nof deviation) variables