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QUESTION

Using tables, fi nd the inverse Laplace transform of F(s)= (s/(s^2-6s+10))*e^-3s

Using tables, find the inverse Laplace transform ofF(s)= (s/(s^2-6s+10))*e^-3s

solution Step­1 make perfect square of s2­6s+10 S2­6s+10 = (s­3)2+1Step­2 find L­1 [s/(s2 ­6s+10) ]L­1 [s/{(s­3)2 +1}= L­1 [{(s­3)+3}/{(s­3)2 +1}]=L­1 [(s­3)/{(s­3)2 +1} +...
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