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For the function F (s) = (s^2+s+1)/s(s+5)(s+3), after splitting this function into partial fractions. Find the partial fraction expansion of the function.(a) 1/15s-2.1/(s+5)+1.17/(s+3)(b) 1/15s-2.1/(s+5)-1.17/(s+3)(c) 1/15s+2.1/(s+5)+1.17/(s+3)(d) 1/15s+2.1/(s+5)-1.17/(s+3)The question was posed to me in class test.I would like to ask this question from Inverse Transforms topic in section Intoduction to the Laplace Transform of Network Theory

Answer» CORRECT answer is (d) 1/15s+2.1/(s+5)-1.17/(s+3)

To explain I WOULD say: The VALUES of A, B,C are A = 1/15, B = 2.1, C = -1.17. Partial fraction EXPANSION of the FUNCTION is (s^2+s+1)/s(s+5)(s+3) =1/15s+2.1/(s+5)-1.17/(s+3).


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