Problem 6: For shock and vibration testing various profiles need to be evaluated. These may be low frequency, or mid-range frequency vibrations depending on the specifications of the customer or the design team. Amplitude and time duration of these are also variables that engineering teams must address Even thermal considerations can play a role as material properties are temperature sensitive. To address these needs the physical system is subjected to a forcing function. The differential equation for this model may take the following form. y" + p(t)y' + q(t)-g(t) #0 Notice that such an ODE is non-homogeneous. As an example suppose that a circuit board is modeled as follows. 2y"+0.5y' +8y-4sint, y(0)-5,y'(0)- What is the frequency of the function that drives the vibration? Solve the system with MATLAB. Describe the solution and graph the solution