Explain the steps on how to solve the problems below:
Question (1):Use Laplace Transforms to solve the following Differential Equation.
y″-8y′+20y=tet ,y (0) = 0 , y ‘(0) = 0
Question (2): Use Laplace Transforms to solve the following Differential Equation.
y''' +2y″-y′-2y=Sin3t
where y(0)=0 , y ‘ (0) , y ‘'(0) = 0 , y ‘''(0) =1