(Solved): Question 2 25 Marks Using Laplace Transform, solve the following system of linear differenti ...

Question 2 25 Marks Using Laplace Transform, solve the following system of linear differential equations: ⎧⎩⎨x′−2y′+3x=0x−4y′+3z′=tx−2y′+3z′=1,x(0)=y(0)=z(0)=0 Find x(t),y(t),z(t) and plot the amplitude variations of the three variables from t=0 up to 20 seconds. (25 Marks)