Let us assume x (t) = A cos(ωt + φ), on taking the partial fractions for the response we get?
(a) Y(s)=k1/(s-jω)+(k1^‘)/(s+jω)+Σterms generated by the poles of H(s)
(b) Y(s)=k1/(s+jω)+(k1^‘)/(s+jω)+Σterms generated by the poles of H(s)
(c) Y(s)=k1/(s+jω)+(k1^‘)/(s-jω)+Σterms generated by the poles of H(s)
(d) Y(s)=k1/(s-jω)+(k1^‘)/(s-jω)+Σterms generated by the poles of H(s)
This question was addressed to me by my college professor while I was bunking the class.
This interesting question is from Transfer Function in chapter Application of the Laplace Transform in Circuit Analysis of Network Theory