Question

Name PROBLEM 2: (18%) Given the following differential equation (a) Find the forced response y(t) to a unit ramp input of u(t). (9%) (Medium) (b) Find the steady-state response yo) subject to u(t) frequency response formula.) (9%) (Easy) 3cos (0.5t-0.5). (Hint: use the

Answer 1

) Given dittaen Hal equalan.İb dyply laplare on oith 9dss dy d th ls) 0(S) )Ge) unt omp ult)t spply Loplaue on beth side

uls st s%2s15 s+2StS s'+ast 5 s(s tas t5) 93(AC)(2AtB+ D) s+ (5A1B) s tompax lice toms on both xides 58-I E회 35 25 25

25+255 a5 t as as 425+5 Coai de a5 25-г stast5 S41 3

2 5 1"(古):1) ( n t at 2.5 50 init 5b th the toced relpnse +) to a uit Tor Unut Yomp nut ult).

b) tompou aloue bith toms (Jo)25 42j+5 0-25 t5

0.5) tan 4.15 atib the tady aue sune