Question

A system generated by   The ramp component in the forced response will be:

(a) t u(t)

(b) 2t u(t)

(c) 3t u(t)

(d) 4t u(t)

The question was asked in quiz.

I'd like to ask this question from Time Response of Second Order Systems in portion Time Response Analysis, Design Specifications and Performance Indices of Control Systems

Answer 1

Right option is (b) 2t u(t)

The best I can explain: Laplace transforming

sY(s) + 2Y(s)=4/s^2

Taking the inverse Laplace transform the forced term is 2t u(t).