Question about an example problem with transfer function response

[kenok1216]

whu at w=100 the effect of c₀ and c₂ will not count
also w=200 the effect of c₁ and c₀ will not count?

 

[Baluncore]

Is this homework ?

 

[BvU]

whu at w=100 the effect of c₀ and c₂ will not count
also w=200 the effect of c₁ and c₀ will not count?

Well, it's a worked out example and OP wonders about the coefficients. The reason is that this is all about linear systems, and one property of a linear system is that you can write the total response as the sum of responses to the individual frequency components in the input.
And an input of a particular $\omega$ can only lead to a response with that same $\omega$ plus its very own $\theta$.

 

[kenok1216]

nders about the coefficie

Well, it's a worked out example and OP wonders about the coefficients. The reason is that this is all about linear systems, and one property of a linear system is that you can write the total response as the sum of responses to the individual frequency components in the input.
And an input of a particular $\omega$ can only lead to a response with that same $\omega$ plus its very own $\theta$.

got it thank