The figure below shows the input x1t to an LTI system with i

The figure below shows the input x1(t) to an LTI system with impulse response h1(t) along with the resulting output y1(t).

Please show your work/explain on how to got the answer.

Solution

option D..

y(t) is the convolution of x(t) and h(t) defines either as x(tau)*h(t-tau) or h(tau)*x(t-tau)

so in x2(t) we can place h1(t) which is option D.