1. The problem statement, all variables and given/known data In the circuit in the following figure, the resistor is adjusted for critical damping. The initial capacitor voltage is 15 V, and the initial inductor current is 6 mA and R=1250 ohms Find vC(t) for t≥0. Express your answer in terms of t, where t is in milliseconds. 2. Relevant equations i=c*dv/dt 3. The attempt at a solution the only part of this problem i am not getting is solving for the constants with the given initial conditions... the 2 roots to the differential equation are -5000. so: v(t)=C_1*e^(-5000t)+C_2*t*e^(-5000t) and dv/dt [at t=0+]=-5000*C_1+C_2=i/c=(6*10^-3)A/(320*10^-9 F)=18750 volts/s v(0)=C_1=15V so C_2 -5000*15=18750...C_2=93750 but apparently C_2 is actually equal to 56250....If the equation was C_2-5000*15=-18750, then i would get 56250...where am i going wrong???