Question

Laplace transfer functions and ODE?

1) Here is a differential equation. Please find the Laplace transfer function C(s)/R(s). Note that Initial conditions are zero.

***answer provided, please show work

dct) 9, ... - 4 20rc and²c(t) , - dt2 CE) 2 dct) dr(t) . - + 20r(t) + 5 - 2- d+3 dt dt²

ANS: 57년 5월 S

2) Here is a Laplace transfer function. Please find the corresponding ODE.

P(s) = C(9) = 52+4 R(S) (s*+1)

ANS: dic tur dah tead? ato

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Answer #1

Given differential equation is- dŁ2 d3clt) +5d²ect) - gacct = d²r(t +26rct) at att de given initial condition are zero so cod

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