Question: consider y +3y +2y = g(t) ={ sin( t ) 0 t

consider

y +3y +2y = g(t) ={sin(t) 0t<,

0 t}

with y(0) = y(0) = 0.

i) Calculate L[g(t)].

ii) Solve the differential equation.

iii) Calculate limt y(t).

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