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Use the Laplace transform to solve the given initial value problem. Note: Write uſt – a) for ualt). y – 10y +16y = 83(t), y

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0 y-10y +16y=fz(t) Taking Laplace transform Ahlyll-loyl H16y)=e3 Let 2(X) = Y(S) 1 ---(4)=8405) @ - Lly)= 3²4 (s) ) e 35 Pfrom ③ Now YLt) 240 = (later on troo)**) Now YB) = D(15) 570) ale and ) oct-> *70) = ( st-ay at-6) Answer

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