Obtain the unit-impulse response of the following model in two ways: (a) by separation of variables and (b) with the Laplace transform. The initial condition is x(0) = 3. What is the value of x(0+)?...

Obtain the unit-impulse response of the following model in two ways: (a) by separation of variables and (b) with the Laplace transform. The initial condition is x(0) = 3. What is the value of x(0+)?

Obtain the unit-impulse response of the following model. The initial condition is x(0) = 0. What is the value of x(0+)?