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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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