Calculating impulse response of RLC circuit

Attached is the descriptive outline for what I need. I've written some code, but I feel it would just complicate things (since I use a lot of variables from previous sections of the assignment).

Despite what is asked for, it doesn't matter how I arrive at the correct plots, I just need the plots themselves.

I'm at a total loss for how to write the code to achieve this goal, or how to account for the differential equation given.

Any thoughts?

[Star Strider]

‘Attached is the descriptive outline ...’

Not yet.

Answer 1

[Rick Rosson]

   omega_0 = 1/sqrt(L*C);
   alpha = R/L;
   zeta = alpha/omega_0;
   Q = omega_0/(2*alpha);

   if alpha > omega_0

       % over damped

   else

       if alpha == omega_0

            % critically damped

       else

            % under damped

       end

   end