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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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