Consider the LTI System shown below, with $x(t)$ as input signal, $y(t)$ as output signal, yilt as intermediate output signals and hi$($t$)$ as individual impulse response.

$x(t)=u(t-2)$

$h_1(t)=(t+2)$

$h_2(t)=(t+1)$

$h_3(t)=(t-2)$

$h_4(t)=(t-2)$

$h_5(t)=u(t+5)$

please solve :y$1($t$),$y$2($t$),$y$3($t$),$y$4($t$),$y$5($t$),$y$($t$)$

$y_1(t)$ is:

$y2(t)$ is:

$y_3(t)$ is:

$y_4(t)$ is:

$y_5(t)$ is:

$y(t)$ is: