The electric circuit shown below C R w L is described by the system of differential equations 10-(14)0 RC where I is the current through the inductor and V is the voltage drop across the capacitor. (a) Show that the eigenvalue(s) are real and equal if L = 4R²C. The eigenvalue(s) are as follows. (Enter your answers as a comma-separated list.) r = 1 12 Therefore, the discriminant vanishes when L = 4R²C. (b) Suppose that R = 1, C = 1 F, and L = 4 H. Suppose also that I(0) = 6 A and V(0) = 8 V. Find I(t) and V(t). I(t) = V(t) =