Solve RLC Switch Circuit Homework

[dwn]

Homework Statement

Image

Homework Equations

The Attempt at a Solution

for t > 0:
α = 1/2RC = 250
ω = 1/√(LC) = 150
ω < α    overdamped
s1 = -50
s2 = -450
vc(t) = Ae[SUP]-50t[/SUP] + Be[SUP]-450t[/SUP]
dv/dt = -50Ae[SUP]-50t[/SUP] - 450Be[SUP]-450t[/SUP]

for t <0 :

Vcap = 12(1/6) = 2 V  (open circuit)
Iind = 12/6 = 2 A (short circuit)

t > 0 :

Vcap = 2V
Iind = 2A 
vc(0) = 2V =  A+B
dv(0)/dt = -50A - 450B = icap(0)/C

At this point I get kind of lost and I'm not really sure what to do.

 

[dwn]

Nevermind, I figured it out.