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"Realise given YLC(S) into cauer 2 form \[ Y\left(s \right)=\frac{s^4+6s^2+4}{2s^3+4s} \] "
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The function y(s) has a pole at origin. Arranging numerator & denominator polynomial in ascending order of s.

$Y\left(s\right)=\dfrac{4+6s^2+s^4}{4s+2s^3} $

By continued fraction expansion

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