A piezoelectric transducer has an input Solve the differential equation to find e. For t = T-, find the error [(ideal value of eo) (actual value of e.)]. Approximate this error by using the truncated series xi(t) = Atu(t)- A(t-T)u(t-T)-ATu(t-T)u(t-T) X,(s) = 42-4e7²-AT-¹² The differential equation is: = Kr.dx; "व +eo Laplace transforming and inserting initial conditions gives: x₁ = At x₁ = 0 t[sE (s)-e (0)]+E(s) = K[sX;(s)-x(0)} Xị (t) 0 ≤t

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