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Math Help... Partial Fraction...?
Question is: (5/S)x (1/(s+1)(S+2))
Next Step is: = (A/S) + (B/(S+1)) + (C/(S+2))
How to continue to get the answer if A, B & C using Partial Fraction?
Pls help to solve... If Possible pls help to provide link for similar example. Thanks alot...
2 Answers
- 1 decade agoFavorite Answer
write 5/S x 1/(S+1)(S+2) = A/S + B/(S+1) + C/(S+2)
taking LCM on the RHS, ( A(S+1)(S+2) + BS(S+2) + CS(S+1) )/S(S+1)(S+2) = 5/S(S+1)(S+2)
So AS^2 + 3AS + 3A + BS^2 + 2BS + CS^2 + CS = 5
ie S^2(A+B+C) + S(3A + 2B + C) + (3A) = 5
Since there is only a constant in the RHS, coefficient of S^2 and S should be zero
and 3A = 5.
A+B+C = 0
3A+2B+C = 0
That will get your answer.
