For a time domain function given below: $(5$pts$)$

$x(t)=tsin(3t)$

$(1)$ use built$-$in function laplace$()$ to find its LT$.$ Post screen capture of your codes and result below

$(2)$ next use expand $()$ to process your transform result. Post screen capture of your codes and

result below

$(3)$ then process the result from $(2)$ with simplify$().$ Post screen capture of your codes and result

below

$(4)$ with your final result from $(3),$ use ilaplace$()$ to convert back to time domain. Post screen

capture of your codes and result below. Is the result the same as the original given function above?