Compute the Transfer Equation
The questions are for the equation: y"(t) + 6y'(t) + 34y(t) = 2x'(t) + 11x(t)
a) Compute the transfer equation Y(s)/X(s).
b) Compute the response of the system to the input x(t)=e^(-2t) u(t) assuming no initial stored energy.
c) Compute the response of the system to the input x(t)=4t^2 * e^(-6t) u(t).