The equation for the RLC circuit is given by d²q dq 9 L + R + dt² dt C Eo cos wt. By defining dimensionless variables, one can obtain the dimensionless equation d²Q dQ dr² dT + a + Q = cos BT. (a) What are the definitions for 7, Q, a and B? The solution is [3 pts] (b) Show that the homogeneous solution of the dimensionless equation goes to zero as 7 goes to infinity. [2 pts] (c) Find the particular solution of the dimensionless equation when ß = 1. The solution is = [5 pts]